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Finding the Fourth Proportional to 406,062.80, 609,785.40 and 301,000.40

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Solution

The fourth proportional to 406,062.80, 609,785.40 and 301,000.40 is: 452,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,062.80 : 609,785.40 = 301,000.40 : x
  2. Step 2: Convert to fraction form
    406,062.80/609,785.40 = 301,000.40/x
  3. Step 3: Cross multiply
    406,062.80x = 609,785.40 × 301,000.40
  4. Step 4: Simplify right side
    406,062.80x = 183,545,649,314.16
  5. Step 5: Solve for x
    x = 183,545,649,314.16/406,062.80
  6. Step 6: Final answer
    x = 452,012.96

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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.