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Finding the Fourth Proportional to 515,927.70, 773,235.45 and 459,503.10

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Solution

The fourth proportional to 515,927.70, 773,235.45 and 459,503.10 is: 688,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,927.70 : 773,235.45 = 459,503.10 : x
  2. Step 2: Convert to fraction form
    515,927.70/773,235.45 = 459,503.10/x
  3. Step 3: Cross multiply
    515,927.70x = 773,235.45 × 459,503.10
  4. Step 4: Simplify right side
    515,927.70x = 355,304,086,304.90
  5. Step 5: Solve for x
    x = 355,304,086,304.90/515,927.70
  6. Step 6: Final answer
    x = 688,670.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.