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Finding the Fourth Proportional to 424,122.32, 585,302.28 and 233,143.76

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Solution

The fourth proportional to 424,122.32, 585,302.28 and 233,143.76 is: 321,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,122.32 : 585,302.28 = 233,143.76 : x
  2. Step 2: Convert to fraction form
    424,122.32/585,302.28 = 233,143.76/x
  3. Step 3: Cross multiply
    424,122.32x = 585,302.28 × 233,143.76
  4. Step 4: Simplify right side
    424,122.32x = 136,459,574,295.77
  5. Step 5: Solve for x
    x = 136,459,574,295.77/424,122.32
  6. Step 6: Final answer
    x = 321,745.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.