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Finding the Fourth Proportional to 406,407.40, 609,513.06 and 169,621.72

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Solution

The fourth proportional to 406,407.40, 609,513.06 and 169,621.72 is: 254,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,407.40 : 609,513.06 = 169,621.72 : x
  2. Step 2: Convert to fraction form
    406,407.40/609,513.06 = 169,621.72/x
  3. Step 3: Cross multiply
    406,407.40x = 609,513.06 × 169,621.72
  4. Step 4: Simplify right side
    406,407.40x = 103,386,653,599.66
  5. Step 5: Solve for x
    x = 103,386,653,599.66/406,407.40
  6. Step 6: Final answer
    x = 254,391.66

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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.