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Finding the Fourth Proportional to 547,000.35, 820,075.65 and 354,468.06

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Solution

The fourth proportional to 547,000.35, 820,075.65 and 354,468.06 is: 531,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,000.35 : 820,075.65 = 354,468.06 : x
  2. Step 2: Convert to fraction form
    547,000.35/820,075.65 = 354,468.06/x
  3. Step 3: Cross multiply
    547,000.35x = 820,075.65 × 354,468.06
  4. Step 4: Simplify right side
    547,000.35x = 290,690,624,708.74
  5. Step 5: Solve for x
    x = 290,690,624,708.74/547,000.35
  6. Step 6: Final answer
    x = 531,426.76

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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.