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Finding the Fourth Proportional to 282,340, 423,510 and 85,348

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Solution

The fourth proportional to 282,340, 423,510 and 85,348 is: 128,022

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,340 : 423,510 = 85,348 : x
  2. Step 2: Convert to fraction form
    282,340/423,510 = 85,348/x
  3. Step 3: Cross multiply
    282,340x = 423,510 × 85,348
  4. Step 4: Simplify right side
    282,340x = 36,145,731,480
  5. Step 5: Solve for x
    x = 36,145,731,480/282,340
  6. Step 6: Final answer
    x = 128,022

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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.