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Finding the Fourth Proportional to 376,812.90, 564,344.55 and 257,840.10

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Solution

The fourth proportional to 376,812.90, 564,344.55 and 257,840.10 is: 386,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,812.90 : 564,344.55 = 257,840.10 : x
  2. Step 2: Convert to fraction form
    376,812.90/564,344.55 = 257,840.10/x
  3. Step 3: Cross multiply
    376,812.90x = 564,344.55 × 257,840.10
  4. Step 4: Simplify right side
    376,812.90x = 145,510,655,206.46
  5. Step 5: Solve for x
    x = 145,510,655,206.46/376,812.90
  6. Step 6: Final answer
    x = 386,161.55

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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.