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Finding the Fourth Proportional to 421,403.48, 631,809.52 and 155,129.85

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Solution

The fourth proportional to 421,403.48, 631,809.52 and 155,129.85 is: 232,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,403.48 : 631,809.52 = 155,129.85 : x
  2. Step 2: Convert to fraction form
    421,403.48/631,809.52 = 155,129.85/x
  3. Step 3: Cross multiply
    421,403.48x = 631,809.52 × 155,129.85
  4. Step 4: Simplify right side
    421,403.48x = 98,012,515,678.35
  5. Step 5: Solve for x
    x = 98,012,515,678.35/421,403.48
  6. Step 6: Final answer
    x = 232,585.92

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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.