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Finding the Fourth Proportional to 750,472.64, 1,035,641.92 and 410,940.80

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Solution

The fourth proportional to 750,472.64, 1,035,641.92 and 410,940.80 is: 567,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,472.64 : 1,035,641.92 = 410,940.80 : x
  2. Step 2: Convert to fraction form
    750,472.64/1,035,641.92 = 410,940.80/x
  3. Step 3: Cross multiply
    750,472.64x = 1,035,641.92 × 410,940.80
  4. Step 4: Simplify right side
    750,472.64x = 425,587,519,118.34
  5. Step 5: Solve for x
    x = 425,587,519,118.34/750,472.64
  6. Step 6: Final answer
    x = 567,092.65

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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.