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Finding the Fourth Proportional to 280,051,703.80, 420,077,555.70 and 178,266,974.20

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Solution

The fourth proportional to 280,051,703.80, 420,077,555.70 and 178,266,974.20 is: 267,400,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,051,703.80 : 420,077,555.70 = 178,266,974.20 : x
  2. Step 2: Convert to fraction form
    280,051,703.80/420,077,555.70 = 178,266,974.20/x
  3. Step 3: Cross multiply
    280,051,703.80x = 420,077,555.70 × 178,266,974.20
  4. Step 4: Simplify right side
    280,051,703.80x = 74,885,954,783,970,960
  5. Step 5: Solve for x
    x = 74,885,954,783,970,960/280,051,703.80
  6. Step 6: Final answer
    x = 267,400,461.30

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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.