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Finding the Fourth Proportional to 402,159.90, 603,341.96 and 186,174.35

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Solution

The fourth proportional to 402,159.90, 603,341.96 and 186,174.35 is: 279,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,159.90 : 603,341.96 = 186,174.35 : x
  2. Step 2: Convert to fraction form
    402,159.90/603,341.96 = 186,174.35/x
  3. Step 3: Cross multiply
    402,159.90x = 603,341.96 × 186,174.35
  4. Step 4: Simplify right side
    402,159.90x = 112,326,793,283.14
  5. Step 5: Solve for x
    x = 112,326,793,283.14/402,159.90
  6. Step 6: Final answer
    x = 279,308.79

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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.