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Finding the Fourth Proportional to 509,428.14, 703,026.64 and 279,981.28

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Solution

The fourth proportional to 509,428.14, 703,026.64 and 279,981.28 is: 386,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,428.14 : 703,026.64 = 279,981.28 : x
  2. Step 2: Convert to fraction form
    509,428.14/703,026.64 = 279,981.28/x
  3. Step 3: Cross multiply
    509,428.14x = 703,026.64 × 279,981.28
  4. Step 4: Simplify right side
    509,428.14x = 196,834,298,541.30
  5. Step 5: Solve for x
    x = 196,834,298,541.30/509,428.14
  6. Step 6: Final answer
    x = 386,382.85

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1.5x scale

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.