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Finding the Fourth Proportional to 522,713, 721,232.70 and 307,774.64

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Solution

The fourth proportional to 522,713, 721,232.70 and 307,774.64 is: 424,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,713 : 721,232.70 = 307,774.64 : x
  2. Step 2: Convert to fraction form
    522,713/721,232.70 = 307,774.64/x
  3. Step 3: Cross multiply
    522,713x = 721,232.70 × 307,774.64
  4. Step 4: Simplify right side
    522,713x = 221,977,134,598.73
  5. Step 5: Solve for x
    x = 221,977,134,598.73/522,713
  6. Step 6: Final answer
    x = 424,663.50

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1.5x scale

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.