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Finding the Fourth Proportional to 515,737.42, 711,706.44 and 286,281.43

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Solution

The fourth proportional to 515,737.42, 711,706.44 and 286,281.43 is: 395,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,737.42 : 711,706.44 = 286,281.43 : x
  2. Step 2: Convert to fraction form
    515,737.42/711,706.44 = 286,281.43/x
  3. Step 3: Cross multiply
    515,737.42x = 711,706.44 × 286,281.43
  4. Step 4: Simplify right side
    515,737.42x = 203,748,337,383.41
  5. Step 5: Solve for x
    x = 203,748,337,383.41/515,737.42
  6. Step 6: Final answer
    x = 395,062.16

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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.