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Finding the Fourth Proportional to 302,874.60, 417,812.40 and 207,472.80

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Solution

The fourth proportional to 302,874.60, 417,812.40 and 207,472.80 is: 286,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,874.60 : 417,812.40 = 207,472.80 : x
  2. Step 2: Convert to fraction form
    302,874.60/417,812.40 = 207,472.80/x
  3. Step 3: Cross multiply
    302,874.60x = 417,812.40 × 207,472.80
  4. Step 4: Simplify right side
    302,874.60x = 86,684,708,502.72
  5. Step 5: Solve for x
    x = 86,684,708,502.72/302,874.60
  6. Step 6: Final answer
    x = 286,206.60

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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.