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Finding the Fourth Proportional to 478,708.80, 717,458.40 and 242,116.80

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Solution

The fourth proportional to 478,708.80, 717,458.40 and 242,116.80 is: 362,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,708.80 : 717,458.40 = 242,116.80 : x
  2. Step 2: Convert to fraction form
    478,708.80/717,458.40 = 242,116.80/x
  3. Step 3: Cross multiply
    478,708.80x = 717,458.40 × 242,116.80
  4. Step 4: Simplify right side
    478,708.80x = 173,708,731,941.12
  5. Step 5: Solve for x
    x = 173,708,731,941.12/478,708.80
  6. Step 6: Final answer
    x = 362,869.31

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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.