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Finding the Fourth Proportional to 778,655, 1,074,545.34 and 420,959

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Solution

The fourth proportional to 778,655, 1,074,545.34 and 420,959 is: 580,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,655 : 1,074,545.34 = 420,959 : x
  2. Step 2: Convert to fraction form
    778,655/1,074,545.34 = 420,959/x
  3. Step 3: Cross multiply
    778,655x = 1,074,545.34 × 420,959
  4. Step 4: Simplify right side
    778,655x = 452,339,531,781.06
  5. Step 5: Solve for x
    x = 452,339,531,781.06/778,655
  6. Step 6: Final answer
    x = 580,924.20

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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.