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Finding the Fourth Proportional to 313,284.72, 469,295.05 and 144,570.68

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Solution

The fourth proportional to 313,284.72, 469,295.05 and 144,570.68 is: 216,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,284.72 : 469,295.05 = 144,570.68 : x
  2. Step 2: Convert to fraction form
    313,284.72/469,295.05 = 144,570.68/x
  3. Step 3: Cross multiply
    313,284.72x = 469,295.05 × 144,570.68
  4. Step 4: Simplify right side
    313,284.72x = 67,846,304,499.13
  5. Step 5: Solve for x
    x = 67,846,304,499.13/313,284.72
  6. Step 6: Final answer
    x = 216,564.36

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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.