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Finding the Fourth Proportional to 393,805.20, 590,999.40 and 260,641.20

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Solution

The fourth proportional to 393,805.20, 590,999.40 and 260,641.20 is: 391,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,805.20 : 590,999.40 = 260,641.20 : x
  2. Step 2: Convert to fraction form
    393,805.20/590,999.40 = 260,641.20/x
  3. Step 3: Cross multiply
    393,805.20x = 590,999.40 × 260,641.20
  4. Step 4: Simplify right side
    393,805.20x = 154,038,792,815.28
  5. Step 5: Solve for x
    x = 154,038,792,815.28/393,805.20
  6. Step 6: Final answer
    x = 391,154.80

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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.