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Finding the Fourth Proportional to 475,877.93, 714,003.78 and 209,451.65

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Solution

The fourth proportional to 475,877.93, 714,003.78 and 209,451.65 is: 314,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,877.93 : 714,003.78 = 209,451.65 : x
  2. Step 2: Convert to fraction form
    475,877.93/714,003.78 = 209,451.65/x
  3. Step 3: Cross multiply
    475,877.93x = 714,003.78 × 209,451.65
  4. Step 4: Simplify right side
    475,877.93x = 149,549,266,257.22
  5. Step 5: Solve for x
    x = 149,549,266,257.22/475,877.93
  6. Step 6: Final answer
    x = 314,259.73

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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.