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Finding the Fourth Proportional to 1,300,318,284.80, 1,953,662,476.80 and 977,832,012.80

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Solution

The fourth proportional to 1,300,318,284.80, 1,953,662,476.80 and 977,832,012.80 is: 1,469,143,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,318,284.80 : 1,953,662,476.80 = 977,832,012.80 : x
  2. Step 2: Convert to fraction form
    1,300,318,284.80/1,953,662,476.80 = 977,832,012.80/x
  3. Step 3: Cross multiply
    1,300,318,284.80x = 1,953,662,476.80 × 977,832,012.80
  4. Step 4: Simplify right side
    1,300,318,284.80x = 1,910,353,712,021,177,088
  5. Step 5: Solve for x
    x = 1,910,353,712,021,177,088/1,300,318,284.80
  6. Step 6: Final answer
    x = 1,469,143,158.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.