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Finding the Fourth Proportional to 390,561.72, 585,842.62 and 141,185.40

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Solution

The fourth proportional to 390,561.72, 585,842.62 and 141,185.40 is: 211,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,561.72 : 585,842.62 = 141,185.40 : x
  2. Step 2: Convert to fraction form
    390,561.72/585,842.62 = 141,185.40/x
  3. Step 3: Cross multiply
    390,561.72x = 585,842.62 × 141,185.40
  4. Step 4: Simplify right side
    390,561.72x = 82,712,424,641.75
  5. Step 5: Solve for x
    x = 82,712,424,641.75/390,561.72
  6. Step 6: Final answer
    x = 211,778.11

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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.