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Finding the Fourth Proportional to 421,581.39, 632,352.65 and 155,323.86

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Solution

The fourth proportional to 421,581.39, 632,352.65 and 155,323.86 is: 232,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,581.39 : 632,352.65 = 155,323.86 : x
  2. Step 2: Convert to fraction form
    421,581.39/632,352.65 = 155,323.86/x
  3. Step 3: Cross multiply
    421,581.39x = 632,352.65 × 155,323.86
  4. Step 4: Simplify right side
    421,581.39x = 98,219,453,702.61
  5. Step 5: Solve for x
    x = 98,219,453,702.61/421,581.39
  6. Step 6: Final answer
    x = 232,978.63

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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.