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Finding the Fourth Proportional to 676,479.84, 933,549.04 and 408,156

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Solution

The fourth proportional to 676,479.84, 933,549.04 and 408,156 is: 563,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,479.84 : 933,549.04 = 408,156 : x
  2. Step 2: Convert to fraction form
    676,479.84/933,549.04 = 408,156/x
  3. Step 3: Cross multiply
    676,479.84x = 933,549.04 × 408,156
  4. Step 4: Simplify right side
    676,479.84x = 381,033,641,970.24
  5. Step 5: Solve for x
    x = 381,033,641,970.24/676,479.84
  6. Step 6: Final answer
    x = 563,259.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.