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Finding the Fourth Proportional to 421,501.76, 632,584.76 and 155,449.08

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Solution

The fourth proportional to 421,501.76, 632,584.76 and 155,449.08 is: 233,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,501.76 : 632,584.76 = 155,449.08 : x
  2. Step 2: Convert to fraction form
    421,501.76/632,584.76 = 155,449.08/x
  3. Step 3: Cross multiply
    421,501.76x = 632,584.76 × 155,449.08
  4. Step 4: Simplify right side
    421,501.76x = 98,334,718,186.78
  5. Step 5: Solve for x
    x = 98,334,718,186.78/421,501.76
  6. Step 6: Final answer
    x = 233,296.11

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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.