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Finding the Fourth Proportional to 406,728.40, 610,065.82 and 140,492.72

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Solution

The fourth proportional to 406,728.40, 610,065.82 and 140,492.72 is: 210,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,728.40 : 610,065.82 = 140,492.72 : x
  2. Step 2: Convert to fraction form
    406,728.40/610,065.82 = 140,492.72/x
  3. Step 3: Cross multiply
    406,728.40x = 610,065.82 × 140,492.72
  4. Step 4: Simplify right side
    406,728.40x = 85,709,806,430.83
  5. Step 5: Solve for x
    x = 85,709,806,430.83/406,728.40
  6. Step 6: Final answer
    x = 210,729.83

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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.