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Finding the Fourth Proportional to 640,871.40, 884,417.66 and 354,397.08

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Solution

The fourth proportional to 640,871.40, 884,417.66 and 354,397.08 is: 489,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,871.40 : 884,417.66 = 354,397.08 : x
  2. Step 2: Convert to fraction form
    640,871.40/884,417.66 = 354,397.08/x
  3. Step 3: Cross multiply
    640,871.40x = 884,417.66 × 354,397.08
  4. Step 4: Simplify right side
    640,871.40x = 313,435,036,204.43
  5. Step 5: Solve for x
    x = 313,435,036,204.43/640,871.40
  6. Step 6: Final answer
    x = 489,076.34

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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.