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Finding the Fourth Proportional to 498,278.10, 696,014.70 and 498,278.10

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Solution

The fourth proportional to 498,278.10, 696,014.70 and 498,278.10 is: 696,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,278.10 : 696,014.70 = 498,278.10 : x
  2. Step 2: Convert to fraction form
    498,278.10/696,014.70 = 498,278.10/x
  3. Step 3: Cross multiply
    498,278.10x = 696,014.70 × 498,278.10
  4. Step 4: Simplify right side
    498,278.10x = 346,808,882,288.07
  5. Step 5: Solve for x
    x = 346,808,882,288.07/498,278.10
  6. Step 6: Final answer
    x = 696,014.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.