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Finding the Fourth Proportional to 515,702.74, 711,682.05 and 289,364.98

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Solution

The fourth proportional to 515,702.74, 711,682.05 and 289,364.98 is: 399,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,702.74 : 711,682.05 = 289,364.98 : x
  2. Step 2: Convert to fraction form
    515,702.74/711,682.05 = 289,364.98/x
  3. Step 3: Cross multiply
    515,702.74x = 711,682.05 × 289,364.98
  4. Step 4: Simplify right side
    515,702.74x = 205,935,862,164.61
  5. Step 5: Solve for x
    x = 205,935,862,164.61/515,702.74
  6. Step 6: Final answer
    x = 399,330.56

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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.