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Finding the Fourth Proportional to 676,548, 933,636.24 and 408,276

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Solution

The fourth proportional to 676,548, 933,636.24 and 408,276 is: 563,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,548 : 933,636.24 = 408,276 : x
  2. Step 2: Convert to fraction form
    676,548/933,636.24 = 408,276/x
  3. Step 3: Cross multiply
    676,548x = 933,636.24 × 408,276
  4. Step 4: Simplify right side
    676,548x = 381,181,269,522.24
  5. Step 5: Solve for x
    x = 381,181,269,522.24/676,548
  6. Step 6: Final answer
    x = 563,420.88

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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.