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Finding the Fourth Proportional to 409,891,473.84, 565,896,255.68 and 253,468,310.88

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Solution

The fourth proportional to 409,891,473.84, 565,896,255.68 and 253,468,310.88 is: 349,938,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,891,473.84 : 565,896,255.68 = 253,468,310.88 : x
  2. Step 2: Convert to fraction form
    409,891,473.84/565,896,255.68 = 253,468,310.88/x
  3. Step 3: Cross multiply
    409,891,473.84x = 565,896,255.68 × 253,468,310.88
  4. Step 4: Simplify right side
    409,891,473.84x = 143,436,768,060,526,192
  5. Step 5: Solve for x
    x = 143,436,768,060,526,192/409,891,473.84
  6. Step 6: Final answer
    x = 349,938,403.74

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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.