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Finding the Fourth Proportional to 563,276.67, 777,061.24 and 498,811.60

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Solution

The fourth proportional to 563,276.67, 777,061.24 and 498,811.60 is: 688,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,276.67 : 777,061.24 = 498,811.60 : x
  2. Step 2: Convert to fraction form
    563,276.67/777,061.24 = 498,811.60/x
  3. Step 3: Cross multiply
    563,276.67x = 777,061.24 × 498,811.60
  4. Step 4: Simplify right side
    563,276.67x = 387,607,160,422.38
  5. Step 5: Solve for x
    x = 387,607,160,422.38/563,276.67
  6. Step 6: Final answer
    x = 688,129.26

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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.