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Finding the Fourth Proportional to 528,098.30, 792,147.45 and 509,435.90

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Solution

The fourth proportional to 528,098.30, 792,147.45 and 509,435.90 is: 764,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,098.30 : 792,147.45 = 509,435.90 : x
  2. Step 2: Convert to fraction form
    528,098.30/792,147.45 = 509,435.90/x
  3. Step 3: Cross multiply
    528,098.30x = 792,147.45 × 509,435.90
  4. Step 4: Simplify right side
    528,098.30x = 403,548,349,123.46
  5. Step 5: Solve for x
    x = 403,548,349,123.46/528,098.30
  6. Step 6: Final answer
    x = 764,153.85

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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.