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Finding the Fourth Proportional to 343,899.84, 515,881.92 and 119,225.28

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Solution

The fourth proportional to 343,899.84, 515,881.92 and 119,225.28 is: 178,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,899.84 : 515,881.92 = 119,225.28 : x
  2. Step 2: Convert to fraction form
    343,899.84/515,881.92 = 119,225.28/x
  3. Step 3: Cross multiply
    343,899.84x = 515,881.92 × 119,225.28
  4. Step 4: Simplify right side
    343,899.84x = 61,506,166,358.94
  5. Step 5: Solve for x
    x = 61,506,166,358.94/343,899.84
  6. Step 6: Final answer
    x = 178,849.07

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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.