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Finding the Fourth Proportional to 917,142, 1,265,655.96 and 514,734

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Solution

The fourth proportional to 917,142, 1,265,655.96 and 514,734 is: 710,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,142 : 1,265,655.96 = 514,734 : x
  2. Step 2: Convert to fraction form
    917,142/1,265,655.96 = 514,734/x
  3. Step 3: Cross multiply
    917,142x = 1,265,655.96 × 514,734
  4. Step 4: Simplify right side
    917,142x = 651,476,154,914.64
  5. Step 5: Solve for x
    x = 651,476,154,914.64/917,142
  6. Step 6: Final answer
    x = 710,332.92

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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.