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Finding the Fourth Proportional to 406,437.58, 609,671.04 and 140,206.78

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Solution

The fourth proportional to 406,437.58, 609,671.04 and 140,206.78 is: 210,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.58 : 609,671.04 = 140,206.78 : x
  2. Step 2: Convert to fraction form
    406,437.58/609,671.04 = 140,206.78/x
  3. Step 3: Cross multiply
    406,437.58x = 609,671.04 × 140,206.78
  4. Step 4: Simplify right side
    406,437.58x = 85,480,013,377.65
  5. Step 5: Solve for x
    x = 85,480,013,377.65/406,437.58
  6. Step 6: Final answer
    x = 210,315.23

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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.