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Finding the Fourth Proportional to 427,792.93, 642,320.19 and 238,622.90

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Solution

The fourth proportional to 427,792.93, 642,320.19 and 238,622.90 is: 358,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,792.93 : 642,320.19 = 238,622.90 : x
  2. Step 2: Convert to fraction form
    427,792.93/642,320.19 = 238,622.90/x
  3. Step 3: Cross multiply
    427,792.93x = 642,320.19 × 238,622.90
  4. Step 4: Simplify right side
    427,792.93x = 153,272,303,254.75
  5. Step 5: Solve for x
    x = 153,272,303,254.75/427,792.93
  6. Step 6: Final answer
    x = 358,286.20

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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.