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Finding the Fourth Proportional to 309,492.95, 464,155.29 and 84,799.17

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Solution

The fourth proportional to 309,492.95, 464,155.29 and 84,799.17 is: 127,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,492.95 : 464,155.29 = 84,799.17 : x
  2. Step 2: Convert to fraction form
    309,492.95/464,155.29 = 84,799.17/x
  3. Step 3: Cross multiply
    309,492.95x = 464,155.29 × 84,799.17
  4. Step 4: Simplify right side
    309,492.95x = 39,359,983,343.11
  5. Step 5: Solve for x
    x = 39,359,983,343.11/309,492.95
  6. Step 6: Final answer
    x = 127,175.70

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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.