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Finding the Fourth Proportional to 421,863.40, 632,695.26 and 122,264.68

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Solution

The fourth proportional to 421,863.40, 632,695.26 and 122,264.68 is: 183,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,863.40 : 632,695.26 = 122,264.68 : x
  2. Step 2: Convert to fraction form
    421,863.40/632,695.26 = 122,264.68/x
  3. Step 3: Cross multiply
    421,863.40x = 632,695.26 × 122,264.68
  4. Step 4: Simplify right side
    421,863.40x = 77,356,283,501.42
  5. Step 5: Solve for x
    x = 77,356,283,501.42/421,863.40
  6. Step 6: Final answer
    x = 183,368.08

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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.