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Finding the Fourth Proportional to 651,431, 898,869.78 and 409,542.20

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Solution

The fourth proportional to 651,431, 898,869.78 and 409,542.20 is: 565,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,431 : 898,869.78 = 409,542.20 : x
  2. Step 2: Convert to fraction form
    651,431/898,869.78 = 409,542.20/x
  3. Step 3: Cross multiply
    651,431x = 898,869.78 × 409,542.20
  4. Step 4: Simplify right side
    651,431x = 368,125,107,214.72
  5. Step 5: Solve for x
    x = 368,125,107,214.72/651,431
  6. Step 6: Final answer
    x = 565,102.22

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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.