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Finding the Fourth Proportional to 515,178.86, 710,125.67 and 406,105.46

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Solution

The fourth proportional to 515,178.86, 710,125.67 and 406,105.46 is: 559,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,178.86 : 710,125.67 = 406,105.46 : x
  2. Step 2: Convert to fraction form
    515,178.86/710,125.67 = 406,105.46/x
  3. Step 3: Cross multiply
    515,178.86x = 710,125.67 × 406,105.46
  4. Step 4: Simplify right side
    515,178.86x = 288,385,911,873.16
  5. Step 5: Solve for x
    x = 288,385,911,873.16/515,178.86
  6. Step 6: Final answer
    x = 559,778.23

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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.