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Finding the Fourth Proportional to 565,429.05, 780,298.13 and 307,306.04

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Solution

The fourth proportional to 565,429.05, 780,298.13 and 307,306.04 is: 424,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,429.05 : 780,298.13 = 307,306.04 : x
  2. Step 2: Convert to fraction form
    565,429.05/780,298.13 = 307,306.04/x
  3. Step 3: Cross multiply
    565,429.05x = 780,298.13 × 307,306.04
  4. Step 4: Simplify right side
    565,429.05x = 239,790,325,216.48
  5. Step 5: Solve for x
    x = 239,790,325,216.48/565,429.05
  6. Step 6: Final answer
    x = 424,085.61

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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.