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Finding the Fourth Proportional to 547,798.20, 821,697.30 and 498,809.40

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Solution

The fourth proportional to 547,798.20, 821,697.30 and 498,809.40 is: 748,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,798.20 : 821,697.30 = 498,809.40 : x
  2. Step 2: Convert to fraction form
    547,798.20/821,697.30 = 498,809.40/x
  3. Step 3: Cross multiply
    547,798.20x = 821,697.30 × 498,809.40
  4. Step 4: Simplify right side
    547,798.20x = 409,870,337,194.62
  5. Step 5: Solve for x
    x = 409,870,337,194.62/547,798.20
  6. Step 6: Final answer
    x = 748,214.10

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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.