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Finding the Fourth Proportional to 406,143.48, 608,521.86 and 287,617.80

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Solution

The fourth proportional to 406,143.48, 608,521.86 and 287,617.80 is: 430,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,143.48 : 608,521.86 = 287,617.80 : x
  2. Step 2: Convert to fraction form
    406,143.48/608,521.86 = 287,617.80/x
  3. Step 3: Cross multiply
    406,143.48x = 608,521.86 × 287,617.80
  4. Step 4: Simplify right side
    406,143.48x = 175,021,718,625.11
  5. Step 5: Solve for x
    x = 175,021,718,625.11/406,143.48
  6. Step 6: Final answer
    x = 430,935.68

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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.