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Finding the Fourth Proportional to 406,787.19, 610,187.12 and 153,999.82

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Solution

The fourth proportional to 406,787.19, 610,187.12 and 153,999.82 is: 231,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,787.19 : 610,187.12 = 153,999.82 : x
  2. Step 2: Convert to fraction form
    406,787.19/610,187.12 = 153,999.82/x
  3. Step 3: Cross multiply
    406,787.19x = 610,187.12 × 153,999.82
  4. Step 4: Simplify right side
    406,787.19x = 93,968,706,646.32
  5. Step 5: Solve for x
    x = 93,968,706,646.32/406,787.19
  6. Step 6: Final answer
    x = 231,002.13

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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.