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Finding the Fourth Proportional to 520,957.32, 781,405.74 and 201,046.61

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Solution

The fourth proportional to 520,957.32, 781,405.74 and 201,046.61 is: 301,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,957.32 : 781,405.74 = 201,046.61 : x
  2. Step 2: Convert to fraction form
    520,957.32/781,405.74 = 201,046.61/x
  3. Step 3: Cross multiply
    520,957.32x = 781,405.74 × 201,046.61
  4. Step 4: Simplify right side
    520,957.32x = 157,098,971,154.51
  5. Step 5: Solve for x
    x = 157,098,971,154.51/520,957.32
  6. Step 6: Final answer
    x = 301,558.24

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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.