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Finding the Fourth Proportional to 728,578.92, 1,005,402 and 401,948.76

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Solution

The fourth proportional to 728,578.92, 1,005,402 and 401,948.76 is: 554,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,578.92 : 1,005,402 = 401,948.76 : x
  2. Step 2: Convert to fraction form
    728,578.92/1,005,402 = 401,948.76/x
  3. Step 3: Cross multiply
    728,578.92x = 1,005,402 × 401,948.76
  4. Step 4: Simplify right side
    728,578.92x = 404,120,087,201.52
  5. Step 5: Solve for x
    x = 404,120,087,201.52/728,578.92
  6. Step 6: Final answer
    x = 554,668.93

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1.5x scale

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.