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Finding the Fourth Proportional to 390,527.78, 585,676.82 and 165,886.43

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Solution

The fourth proportional to 390,527.78, 585,676.82 and 165,886.43 is: 248,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,527.78 : 585,676.82 = 165,886.43 : x
  2. Step 2: Convert to fraction form
    390,527.78/585,676.82 = 165,886.43/x
  3. Step 3: Cross multiply
    390,527.78x = 585,676.82 × 165,886.43
  4. Step 4: Simplify right side
    390,527.78x = 97,155,833,045.74
  5. Step 5: Solve for x
    x = 97,155,833,045.74/390,527.78
  6. Step 6: Final answer
    x = 248,780.85

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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.