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Finding the Fourth Proportional to 287,712.30, 431,698.05 and 137,894.70

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Solution

The fourth proportional to 287,712.30, 431,698.05 and 137,894.70 is: 206,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712.30 : 431,698.05 = 137,894.70 : x
  2. Step 2: Convert to fraction form
    287,712.30/431,698.05 = 137,894.70/x
  3. Step 3: Cross multiply
    287,712.30x = 431,698.05 × 137,894.70
  4. Step 4: Simplify right side
    287,712.30x = 59,528,873,095.34
  5. Step 5: Solve for x
    x = 59,528,873,095.34/287,712.30
  6. Step 6: Final answer
    x = 206,904.16

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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.