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Finding the Fourth Proportional to 564,148.80, 778,545.52 and 309,507.36

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Solution

The fourth proportional to 564,148.80, 778,545.52 and 309,507.36 is: 427,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,148.80 : 778,545.52 = 309,507.36 : x
  2. Step 2: Convert to fraction form
    564,148.80/778,545.52 = 309,507.36/x
  3. Step 3: Cross multiply
    564,148.80x = 778,545.52 × 309,507.36
  4. Step 4: Simplify right side
    564,148.80x = 240,965,568,535.03
  5. Step 5: Solve for x
    x = 240,965,568,535.03/564,148.80
  6. Step 6: Final answer
    x = 427,131.23

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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.