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Finding the Fourth Proportional to 705,287.13, 973,960.52 and 491,013.11

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Solution

The fourth proportional to 705,287.13, 973,960.52 and 491,013.11 is: 678,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,287.13 : 973,960.52 = 491,013.11 : x
  2. Step 2: Convert to fraction form
    705,287.13/973,960.52 = 491,013.11/x
  3. Step 3: Cross multiply
    705,287.13x = 973,960.52 × 491,013.11
  4. Step 4: Simplify right side
    705,287.13x = 478,227,376,617.55
  5. Step 5: Solve for x
    x = 478,227,376,617.55/705,287.13
  6. Step 6: Final answer
    x = 678,060.55

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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.