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Finding the Fourth Proportional to 421,256.61, 632,134.62 and 155,203.83

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Solution

The fourth proportional to 421,256.61, 632,134.62 and 155,203.83 is: 232,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,256.61 : 632,134.62 = 155,203.83 : x
  2. Step 2: Convert to fraction form
    421,256.61/632,134.62 = 155,203.83/x
  3. Step 3: Cross multiply
    421,256.61x = 632,134.62 × 155,203.83
  4. Step 4: Simplify right side
    421,256.61x = 98,109,714,099.59
  5. Step 5: Solve for x
    x = 98,109,714,099.59/421,256.61
  6. Step 6: Final answer
    x = 232,897.74

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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.