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Finding the Fourth Proportional to 515,392, 711,318.72 and 314,304.64

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Solution

The fourth proportional to 515,392, 711,318.72 and 314,304.64 is: 433,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,392 : 711,318.72 = 314,304.64 : x
  2. Step 2: Convert to fraction form
    515,392/711,318.72 = 314,304.64/x
  3. Step 3: Cross multiply
    515,392x = 711,318.72 × 314,304.64
  4. Step 4: Simplify right side
    515,392x = 223,570,774,214.86
  5. Step 5: Solve for x
    x = 223,570,774,214.86/515,392
  6. Step 6: Final answer
    x = 433,787.82

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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.