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Finding the Fourth Proportional to 406,718.01, 609,218.76 and 326,320.71

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Solution

The fourth proportional to 406,718.01, 609,218.76 and 326,320.71 is: 488,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,718.01 : 609,218.76 = 326,320.71 : x
  2. Step 2: Convert to fraction form
    406,718.01/609,218.76 = 326,320.71/x
  3. Step 3: Cross multiply
    406,718.01x = 609,218.76 × 326,320.71
  4. Step 4: Simplify right side
    406,718.01x = 198,800,698,308.52
  5. Step 5: Solve for x
    x = 198,800,698,308.52/406,718.01
  6. Step 6: Final answer
    x = 488,792.46

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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.