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Finding the Fourth Proportional to 514,037, 709,345.02 and 281,457.62

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Solution

The fourth proportional to 514,037, 709,345.02 and 281,457.62 is: 388,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037 : 709,345.02 = 281,457.62 : x
  2. Step 2: Convert to fraction form
    514,037/709,345.02 = 281,457.62/x
  3. Step 3: Cross multiply
    514,037x = 709,345.02 × 281,457.62
  4. Step 4: Simplify right side
    514,037x = 199,650,561,088.05
  5. Step 5: Solve for x
    x = 199,650,561,088.05/514,037
  6. Step 6: Final answer
    x = 388,397.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.