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Finding the Fourth Proportional to 345,735, 518,689.98 and 96,417

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Solution

The fourth proportional to 345,735, 518,689.98 and 96,417 is: 144,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,735 : 518,689.98 = 96,417 : x
  2. Step 2: Convert to fraction form
    345,735/518,689.98 = 96,417/x
  3. Step 3: Cross multiply
    345,735x = 518,689.98 × 96,417
  4. Step 4: Simplify right side
    345,735x = 50,010,531,801.66
  5. Step 5: Solve for x
    x = 50,010,531,801.66/345,735
  6. Step 6: Final answer
    x = 144,649.90

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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.