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Finding the Fourth Proportional to 472,253.92, 708,484.56 and 139,855.84

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Solution

The fourth proportional to 472,253.92, 708,484.56 and 139,855.84 is: 209,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,253.92 : 708,484.56 = 139,855.84 : x
  2. Step 2: Convert to fraction form
    472,253.92/708,484.56 = 139,855.84/x
  3. Step 3: Cross multiply
    472,253.92x = 708,484.56 × 139,855.84
  4. Step 4: Simplify right side
    472,253.92x = 99,085,703,265.83
  5. Step 5: Solve for x
    x = 99,085,703,265.83/472,253.92
  6. Step 6: Final answer
    x = 209,814.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.