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Finding the Fourth Proportional to 387,482.69, 581,223.20 and 106,999.13

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Solution

The fourth proportional to 387,482.69, 581,223.20 and 106,999.13 is: 160,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,482.69 : 581,223.20 = 106,999.13 : x
  2. Step 2: Convert to fraction form
    387,482.69/581,223.20 = 106,999.13/x
  3. Step 3: Cross multiply
    387,482.69x = 581,223.20 × 106,999.13
  4. Step 4: Simplify right side
    387,482.69x = 62,190,373,294.70
  5. Step 5: Solve for x
    x = 62,190,373,294.70/387,482.69
  6. Step 6: Final answer
    x = 160,498.46

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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.