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Finding the Fourth Proportional to 406,920.60, 610,380.90 and 389,643.30

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Solution

The fourth proportional to 406,920.60, 610,380.90 and 389,643.30 is: 584,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,920.60 : 610,380.90 = 389,643.30 : x
  2. Step 2: Convert to fraction form
    406,920.60/610,380.90 = 389,643.30/x
  3. Step 3: Cross multiply
    406,920.60x = 610,380.90 × 389,643.30
  4. Step 4: Simplify right side
    406,920.60x = 237,830,828,132.97
  5. Step 5: Solve for x
    x = 237,830,828,132.97/406,920.60
  6. Step 6: Final answer
    x = 584,464.95

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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.