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Finding the Fourth Proportional to 977,499.70, 1,466,443.95 and 820,813.30

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Solution

The fourth proportional to 977,499.70, 1,466,443.95 and 820,813.30 is: 1,231,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,499.70 : 1,466,443.95 = 820,813.30 : x
  2. Step 2: Convert to fraction form
    977,499.70/1,466,443.95 = 820,813.30/x
  3. Step 3: Cross multiply
    977,499.70x = 1,466,443.95 × 820,813.30
  4. Step 4: Simplify right side
    977,499.70x = 1,203,676,697,864.53
  5. Step 5: Solve for x
    x = 1,203,676,697,864.53/977,499.70
  6. Step 6: Final answer
    x = 1,231,383.19

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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.