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Finding the Fourth Proportional to 307,142.79, 424,073.17 and 215,457

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Solution

The fourth proportional to 307,142.79, 424,073.17 and 215,457 is: 297,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,142.79 : 424,073.17 = 215,457 : x
  2. Step 2: Convert to fraction form
    307,142.79/424,073.17 = 215,457/x
  3. Step 3: Cross multiply
    307,142.79x = 424,073.17 × 215,457
  4. Step 4: Simplify right side
    307,142.79x = 91,369,532,988.69
  5. Step 5: Solve for x
    x = 91,369,532,988.69/307,142.79
  6. Step 6: Final answer
    x = 297,482.27

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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.