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Finding the Fourth Proportional to 521,263.53, 780,870.12 and 343,230.78

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Solution

The fourth proportional to 521,263.53, 780,870.12 and 343,230.78 is: 514,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,263.53 : 780,870.12 = 343,230.78 : x
  2. Step 2: Convert to fraction form
    521,263.53/780,870.12 = 343,230.78/x
  3. Step 3: Cross multiply
    521,263.53x = 780,870.12 × 343,230.78
  4. Step 4: Simplify right side
    521,263.53x = 268,018,660,366.29
  5. Step 5: Solve for x
    x = 268,018,660,366.29/521,263.53
  6. Step 6: Final answer
    x = 514,171.13

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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.