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Finding the Fourth Proportional to 319,478.70, 479,218.05 and 97,862.70

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Solution

The fourth proportional to 319,478.70, 479,218.05 and 97,862.70 is: 146,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,478.70 : 479,218.05 = 97,862.70 : x
  2. Step 2: Convert to fraction form
    319,478.70/479,218.05 = 97,862.70/x
  3. Step 3: Cross multiply
    319,478.70x = 479,218.05 × 97,862.70
  4. Step 4: Simplify right side
    319,478.70x = 46,897,572,261.74
  5. Step 5: Solve for x
    x = 46,897,572,261.74/319,478.70
  6. Step 6: Final answer
    x = 146,794.05

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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.