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Finding the Fourth Proportional to 421,532.83, 632,332.25 and 122,017.91

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Solution

The fourth proportional to 421,532.83, 632,332.25 and 122,017.91 is: 183,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,532.83 : 632,332.25 = 122,017.91 : x
  2. Step 2: Convert to fraction form
    421,532.83/632,332.25 = 122,017.91/x
  3. Step 3: Cross multiply
    421,532.83x = 632,332.25 × 122,017.91
  4. Step 4: Simplify right side
    421,532.83x = 77,155,858,960.51
  5. Step 5: Solve for x
    x = 77,155,858,960.51/421,532.83
  6. Step 6: Final answer
    x = 183,036.42

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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.