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Finding the Fourth Proportional to 395,430.50, 593,023.08 and 142,678.10

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Solution

The fourth proportional to 395,430.50, 593,023.08 and 142,678.10 is: 213,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,430.50 : 593,023.08 = 142,678.10 : x
  2. Step 2: Convert to fraction form
    395,430.50/593,023.08 = 142,678.10/x
  3. Step 3: Cross multiply
    395,430.50x = 593,023.08 × 142,678.10
  4. Step 4: Simplify right side
    395,430.50x = 84,611,406,310.55
  5. Step 5: Solve for x
    x = 84,611,406,310.55/395,430.50
  6. Step 6: Final answer
    x = 213,972.89

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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.