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Finding the Fourth Proportional to 387,458.92, 534,931.86 and 307,210.60

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Solution

The fourth proportional to 387,458.92, 534,931.86 and 307,210.60 is: 424,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,458.92 : 534,931.86 = 307,210.60 : x
  2. Step 2: Convert to fraction form
    387,458.92/534,931.86 = 307,210.60/x
  3. Step 3: Cross multiply
    387,458.92x = 534,931.86 × 307,210.60
  4. Step 4: Simplify right side
    387,458.92x = 164,336,737,669.72
  5. Step 5: Solve for x
    x = 164,336,737,669.72/387,458.92
  6. Step 6: Final answer
    x = 424,139.77

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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.