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Finding the Fourth Proportional to 898,395, 1,239,644.16 and 516,350.40

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Solution

The fourth proportional to 898,395, 1,239,644.16 and 516,350.40 is: 712,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,395 : 1,239,644.16 = 516,350.40 : x
  2. Step 2: Convert to fraction form
    898,395/1,239,644.16 = 516,350.40/x
  3. Step 3: Cross multiply
    898,395x = 1,239,644.16 × 516,350.40
  4. Step 4: Simplify right side
    898,395x = 640,090,757,873.66
  5. Step 5: Solve for x
    x = 640,090,757,873.66/898,395
  6. Step 6: Final answer
    x = 712,482.55

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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.