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Finding the Fourth Proportional to 523,260.26, 783,520.06 and 342,777.90

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Solution

The fourth proportional to 523,260.26, 783,520.06 and 342,777.90 is: 513,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,260.26 : 783,520.06 = 342,777.90 : x
  2. Step 2: Convert to fraction form
    523,260.26/783,520.06 = 342,777.90/x
  3. Step 3: Cross multiply
    523,260.26x = 783,520.06 × 342,777.90
  4. Step 4: Simplify right side
    523,260.26x = 268,573,360,774.67
  5. Step 5: Solve for x
    x = 268,573,360,774.67/523,260.26
  6. Step 6: Final answer
    x = 513,269.17

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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.