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Finding the Fourth Proportional to 478,324, 660,087.12 and 277,236.64

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Solution

The fourth proportional to 478,324, 660,087.12 and 277,236.64 is: 382,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,324 : 660,087.12 = 277,236.64 : x
  2. Step 2: Convert to fraction form
    478,324/660,087.12 = 277,236.64/x
  3. Step 3: Cross multiply
    478,324x = 660,087.12 × 277,236.64
  4. Step 4: Simplify right side
    478,324x = 183,000,335,256.08
  5. Step 5: Solve for x
    x = 183,000,335,256.08/478,324
  6. Step 6: Final answer
    x = 382,586.56

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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.