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Finding the Fourth Proportional to 359,054.96, 495,496.86 and 215,897

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Solution

The fourth proportional to 359,054.96, 495,496.86 and 215,897 is: 297,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,054.96 : 495,496.86 = 215,897 : x
  2. Step 2: Convert to fraction form
    359,054.96/495,496.86 = 215,897/x
  3. Step 3: Cross multiply
    359,054.96x = 495,496.86 × 215,897
  4. Step 4: Simplify right side
    359,054.96x = 106,976,285,583.42
  5. Step 5: Solve for x
    x = 106,976,285,583.42/359,054.96
  6. Step 6: Final answer
    x = 297,938.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.