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Finding the Fourth Proportional to 334,698.78, 502,048.20 and 85,380.78

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Solution

The fourth proportional to 334,698.78, 502,048.20 and 85,380.78 is: 128,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,698.78 : 502,048.20 = 85,380.78 : x
  2. Step 2: Convert to fraction form
    334,698.78/502,048.20 = 85,380.78/x
  3. Step 3: Cross multiply
    334,698.78x = 502,048.20 × 85,380.78
  4. Step 4: Simplify right side
    334,698.78x = 42,865,266,913.60
  5. Step 5: Solve for x
    x = 42,865,266,913.60/334,698.78
  6. Step 6: Final answer
    x = 128,071.18

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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.