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Finding the Fourth Proportional to 401,590.40, 602,442 and 117,301.82

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Solution

The fourth proportional to 401,590.40, 602,442 and 117,301.82 is: 175,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,590.40 : 602,442 = 117,301.82 : x
  2. Step 2: Convert to fraction form
    401,590.40/602,442 = 117,301.82/x
  3. Step 3: Cross multiply
    401,590.40x = 602,442 × 117,301.82
  4. Step 4: Simplify right side
    401,590.40x = 70,667,543,044.44
  5. Step 5: Solve for x
    x = 70,667,543,044.44/401,590.40
  6. Step 6: Final answer
    x = 175,969.20

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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.