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Finding the Fourth Proportional to 564,829.86, 779,470.71 and 310,186.50

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Solution

The fourth proportional to 564,829.86, 779,470.71 and 310,186.50 is: 428,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,829.86 : 779,470.71 = 310,186.50 : x
  2. Step 2: Convert to fraction form
    564,829.86/779,470.71 = 310,186.50/x
  3. Step 3: Cross multiply
    564,829.86x = 779,470.71 × 310,186.50
  4. Step 4: Simplify right side
    564,829.86x = 241,781,291,387.42
  5. Step 5: Solve for x
    x = 241,781,291,387.42/564,829.86
  6. Step 6: Final answer
    x = 428,060.39

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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.