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Finding the Fourth Proportional to 563,385.78, 777,478.50 and 308,731.50

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Solution

The fourth proportional to 563,385.78, 777,478.50 and 308,731.50 is: 426,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,385.78 : 777,478.50 = 308,731.50 : x
  2. Step 2: Convert to fraction form
    563,385.78/777,478.50 = 308,731.50/x
  3. Step 3: Cross multiply
    563,385.78x = 777,478.50 × 308,731.50
  4. Step 4: Simplify right side
    563,385.78x = 240,032,103,522.75
  5. Step 5: Solve for x
    x = 240,032,103,522.75/563,385.78
  6. Step 6: Final answer
    x = 426,052.83

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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.