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Finding the Fourth Proportional to 421,651.06, 632,178.91 and 155,376.52

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Solution

The fourth proportional to 421,651.06, 632,178.91 and 155,376.52 is: 232,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,651.06 : 632,178.91 = 155,376.52 : x
  2. Step 2: Convert to fraction form
    421,651.06/632,178.91 = 155,376.52/x
  3. Step 3: Cross multiply
    421,651.06x = 632,178.91 × 155,376.52
  4. Step 4: Simplify right side
    421,651.06x = 98,225,759,053.19
  5. Step 5: Solve for x
    x = 98,225,759,053.19/421,651.06
  6. Step 6: Final answer
    x = 232,955.09

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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.