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Finding the Fourth Proportional to 617,951.16, 852,702.12 and 345,981.24

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Solution

The fourth proportional to 617,951.16, 852,702.12 and 345,981.24 is: 477,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,951.16 : 852,702.12 = 345,981.24 : x
  2. Step 2: Convert to fraction form
    617,951.16/852,702.12 = 345,981.24/x
  3. Step 3: Cross multiply
    617,951.16x = 852,702.12 × 345,981.24
  4. Step 4: Simplify right side
    617,951.16x = 295,018,936,828.23
  5. Step 5: Solve for x
    x = 295,018,936,828.23/617,951.16
  6. Step 6: Final answer
    x = 477,414.65

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Why These Related Problems?

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