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Finding the Fourth Proportional to 472,379.04, 708,447.60 and 139,877.28

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Solution

The fourth proportional to 472,379.04, 708,447.60 and 139,877.28 is: 209,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,379.04 : 708,447.60 = 139,877.28 : x
  2. Step 2: Convert to fraction form
    472,379.04/708,447.60 = 139,877.28/x
  3. Step 3: Cross multiply
    472,379.04x = 708,447.60 × 139,877.28
  4. Step 4: Simplify right side
    472,379.04x = 99,095,723,310.53
  5. Step 5: Solve for x
    x = 99,095,723,310.53/472,379.04
  6. Step 6: Final answer
    x = 209,780.10

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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.