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Finding the Fourth Proportional to 750,649.92, 1,035,639.54 and 428,128.08

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Solution

The fourth proportional to 750,649.92, 1,035,639.54 and 428,128.08 is: 590,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,649.92 : 1,035,639.54 = 428,128.08 : x
  2. Step 2: Convert to fraction form
    750,649.92/1,035,639.54 = 428,128.08/x
  3. Step 3: Cross multiply
    750,649.92x = 1,035,639.54 × 428,128.08
  4. Step 4: Simplify right side
    750,649.92x = 443,386,367,832.28
  5. Step 5: Solve for x
    x = 443,386,367,832.28/750,649.92
  6. Step 6: Final answer
    x = 590,669.97

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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.