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Finding the Fourth Proportional to 390,448.98, 585,608.34 and 137,670.06

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Solution

The fourth proportional to 390,448.98, 585,608.34 and 137,670.06 is: 206,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,448.98 : 585,608.34 = 137,670.06 : x
  2. Step 2: Convert to fraction form
    390,448.98/585,608.34 = 137,670.06/x
  3. Step 3: Cross multiply
    390,448.98x = 585,608.34 × 137,670.06
  4. Step 4: Simplify right side
    390,448.98x = 80,620,735,304.30
  5. Step 5: Solve for x
    x = 80,620,735,304.30/390,448.98
  6. Step 6: Final answer
    x = 206,482.13

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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.