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Finding the Fourth Proportional to 665,280,652.20, 997,920,978.30 and 276,974,428.20

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Solution

The fourth proportional to 665,280,652.20, 997,920,978.30 and 276,974,428.20 is: 415,461,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,280,652.20 : 997,920,978.30 = 276,974,428.20 : x
  2. Step 2: Convert to fraction form
    665,280,652.20/997,920,978.30 = 276,974,428.20/x
  3. Step 3: Cross multiply
    665,280,652.20x = 997,920,978.30 × 276,974,428.20
  4. Step 4: Simplify right side
    665,280,652.20x = 276,398,592,353,427,072
  5. Step 5: Solve for x
    x = 276,398,592,353,427,072/665,280,652.20
  6. Step 6: Final answer
    x = 415,461,642.30

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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.