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Finding the Fourth Proportional to 507,162.24, 699,905.76 and 280,807.76

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Solution

The fourth proportional to 507,162.24, 699,905.76 and 280,807.76 is: 387,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,162.24 : 699,905.76 = 280,807.76 : x
  2. Step 2: Convert to fraction form
    507,162.24/699,905.76 = 280,807.76/x
  3. Step 3: Cross multiply
    507,162.24x = 699,905.76 × 280,807.76
  4. Step 4: Simplify right side
    507,162.24x = 196,538,968,676.70
  5. Step 5: Solve for x
    x = 196,538,968,676.70/507,162.24
  6. Step 6: Final answer
    x = 387,526.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.