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Finding the Fourth Proportional to 401,702.32, 602,550.87 and 102,180.34

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Solution

The fourth proportional to 401,702.32, 602,550.87 and 102,180.34 is: 153,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,702.32 : 602,550.87 = 102,180.34 : x
  2. Step 2: Convert to fraction form
    401,702.32/602,550.87 = 102,180.34/x
  3. Step 3: Cross multiply
    401,702.32x = 602,550.87 × 102,180.34
  4. Step 4: Simplify right side
    401,702.32x = 61,568,852,763.90
  5. Step 5: Solve for x
    x = 61,568,852,763.90/401,702.32
  6. Step 6: Final answer
    x = 153,269.85

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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.