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Finding the Fourth Proportional to 390,266.34, 585,438.47 and 105,961.47

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Solution

The fourth proportional to 390,266.34, 585,438.47 and 105,961.47 is: 158,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,266.34 : 585,438.47 = 105,961.47 : x
  2. Step 2: Convert to fraction form
    390,266.34/585,438.47 = 105,961.47/x
  3. Step 3: Cross multiply
    390,266.34x = 585,438.47 × 105,961.47
  4. Step 4: Simplify right side
    390,266.34x = 62,033,920,875.75
  5. Step 5: Solve for x
    x = 62,033,920,875.75/390,266.34
  6. Step 6: Final answer
    x = 158,952.78

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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.