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Finding the Fourth Proportional to 355,714.80, 533,375.28 and 145,500.40

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Solution

The fourth proportional to 355,714.80, 533,375.28 and 145,500.40 is: 218,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,714.80 : 533,375.28 = 145,500.40 : x
  2. Step 2: Convert to fraction form
    355,714.80/533,375.28 = 145,500.40/x
  3. Step 3: Cross multiply
    355,714.80x = 533,375.28 × 145,500.40
  4. Step 4: Simplify right side
    355,714.80x = 77,606,316,590.11
  5. Step 5: Solve for x
    x = 77,606,316,590.11/355,714.80
  6. Step 6: Final answer
    x = 218,170.05

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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.