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Finding the Fourth Proportional to 345,602, 518,432.70 and 96,284

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Solution

The fourth proportional to 345,602, 518,432.70 and 96,284 is: 144,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,602 : 518,432.70 = 96,284 : x
  2. Step 2: Convert to fraction form
    345,602/518,432.70 = 96,284/x
  3. Step 3: Cross multiply
    345,602x = 518,432.70 × 96,284
  4. Step 4: Simplify right side
    345,602x = 49,916,774,086.80
  5. Step 5: Solve for x
    x = 49,916,774,086.80/345,602
  6. Step 6: Final answer
    x = 144,434.27

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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.