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Finding the Fourth Proportional to 296,967.78, 445,451.70 and 86,605.74

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Solution

The fourth proportional to 296,967.78, 445,451.70 and 86,605.74 is: 129,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,967.78 : 445,451.70 = 86,605.74 : x
  2. Step 2: Convert to fraction form
    296,967.78/445,451.70 = 86,605.74/x
  3. Step 3: Cross multiply
    296,967.78x = 445,451.70 × 86,605.74
  4. Step 4: Simplify right side
    296,967.78x = 38,578,674,112.76
  5. Step 5: Solve for x
    x = 38,578,674,112.76/296,967.78
  6. Step 6: Final answer
    x = 129,908.62

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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.