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Finding the Fourth Proportional to 478,872.16, 660,295.92 and 306,561.76

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Solution

The fourth proportional to 478,872.16, 660,295.92 and 306,561.76 is: 422,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,872.16 : 660,295.92 = 306,561.76 : x
  2. Step 2: Convert to fraction form
    478,872.16/660,295.92 = 306,561.76/x
  3. Step 3: Cross multiply
    478,872.16x = 660,295.92 × 306,561.76
  4. Step 4: Simplify right side
    478,872.16x = 202,421,479,356.02
  5. Step 5: Solve for x
    x = 202,421,479,356.02/478,872.16
  6. Step 6: Final answer
    x = 422,704.63

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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.