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Finding the Fourth Proportional to 509,402.60, 702,981.98 and 279,984.96

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Solution

The fourth proportional to 509,402.60, 702,981.98 and 279,984.96 is: 386,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,402.60 : 702,981.98 = 279,984.96 : x
  2. Step 2: Convert to fraction form
    509,402.60/702,981.98 = 279,984.96/x
  3. Step 3: Cross multiply
    509,402.60x = 702,981.98 × 279,984.96
  4. Step 4: Simplify right side
    509,402.60x = 196,824,381,551.02
  5. Step 5: Solve for x
    x = 196,824,381,551.02/509,402.60
  6. Step 6: Final answer
    x = 386,382.76

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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.