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Finding the Fourth Proportional to 522,663.40, 783,188.70 and 388,916.20

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Solution

The fourth proportional to 522,663.40, 783,188.70 and 388,916.20 is: 582,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,663.40 : 783,188.70 = 388,916.20 : x
  2. Step 2: Convert to fraction form
    522,663.40/783,188.70 = 388,916.20/x
  3. Step 3: Cross multiply
    522,663.40x = 783,188.70 × 388,916.20
  4. Step 4: Simplify right side
    522,663.40x = 304,594,773,086.94
  5. Step 5: Solve for x
    x = 304,594,773,086.94/522,663.40
  6. Step 6: Final answer
    x = 582,774.25

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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.