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Finding the Fourth Proportional to 515,444.49, 711,280.97 and 311,374.61

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Solution

The fourth proportional to 515,444.49, 711,280.97 and 311,374.61 is: 429,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,444.49 : 711,280.97 = 311,374.61 : x
  2. Step 2: Convert to fraction form
    515,444.49/711,280.97 = 311,374.61/x
  3. Step 3: Cross multiply
    515,444.49x = 711,280.97 × 311,374.61
  4. Step 4: Simplify right side
    515,444.49x = 221,474,830,688.55
  5. Step 5: Solve for x
    x = 221,474,830,688.55/515,444.49
  6. Step 6: Final answer
    x = 429,677.37

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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.