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Finding the Fourth Proportional to 403,254.10, 604,881.15 and 278,838.10

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Solution

The fourth proportional to 403,254.10, 604,881.15 and 278,838.10 is: 418,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,254.10 : 604,881.15 = 278,838.10 : x
  2. Step 2: Convert to fraction form
    403,254.10/604,881.15 = 278,838.10/x
  3. Step 3: Cross multiply
    403,254.10x = 604,881.15 × 278,838.10
  4. Step 4: Simplify right side
    403,254.10x = 168,663,910,591.82
  5. Step 5: Solve for x
    x = 168,663,910,591.82/403,254.10
  6. Step 6: Final answer
    x = 418,257.15

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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.