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Finding the Fourth Proportional to 345,747, 518,708.02 and 96,429

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Solution

The fourth proportional to 345,747, 518,708.02 and 96,429 is: 144,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,747 : 518,708.02 = 96,429 : x
  2. Step 2: Convert to fraction form
    345,747/518,708.02 = 96,429/x
  3. Step 3: Cross multiply
    345,747x = 518,708.02 × 96,429
  4. Step 4: Simplify right side
    345,747x = 50,018,495,660.58
  5. Step 5: Solve for x
    x = 50,018,495,660.58/345,747
  6. Step 6: Final answer
    x = 144,667.91

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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.