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Finding the Fourth Proportional to 640,864.47, 884,398.87 and 354,389.34

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Solution

The fourth proportional to 640,864.47, 884,398.87 and 354,389.34 is: 489,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,864.47 : 884,398.87 = 354,389.34 : x
  2. Step 2: Convert to fraction form
    640,864.47/884,398.87 = 354,389.34/x
  3. Step 3: Cross multiply
    640,864.47x = 884,398.87 × 354,389.34
  4. Step 4: Simplify right side
    640,864.47x = 313,421,535,595.53
  5. Step 5: Solve for x
    x = 313,421,535,595.53/640,864.47
  6. Step 6: Final answer
    x = 489,060.56

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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.