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Finding the Fourth Proportional to 898,396, 1,239,645.54 and 516,351.40

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Solution

The fourth proportional to 898,396, 1,239,645.54 and 516,351.40 is: 712,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,396 : 1,239,645.54 = 516,351.40 : x
  2. Step 2: Convert to fraction form
    898,396/1,239,645.54 = 516,351.40/x
  3. Step 3: Cross multiply
    898,396x = 1,239,645.54 × 516,351.40
  4. Step 4: Simplify right side
    898,396x = 640,092,710,082.76
  5. Step 5: Solve for x
    x = 640,092,710,082.76/898,396
  6. Step 6: Final answer
    x = 712,483.93

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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.