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Finding the Fourth Proportional to 917,988, 1,266,942.24 and 515,580

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Solution

The fourth proportional to 917,988, 1,266,942.24 and 515,580 is: 711,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,988 : 1,266,942.24 = 515,580 : x
  2. Step 2: Convert to fraction form
    917,988/1,266,942.24 = 515,580/x
  3. Step 3: Cross multiply
    917,988x = 1,266,942.24 × 515,580
  4. Step 4: Simplify right side
    917,988x = 653,210,080,099.20
  5. Step 5: Solve for x
    x = 653,210,080,099.20/917,988
  6. Step 6: Final answer
    x = 711,567.12

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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.