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Finding the Fourth Proportional to 517,803.28, 776,445.16 and 301,732

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Solution

The fourth proportional to 517,803.28, 776,445.16 and 301,732 is: 452,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,803.28 : 776,445.16 = 301,732 : x
  2. Step 2: Convert to fraction form
    517,803.28/776,445.16 = 301,732/x
  3. Step 3: Cross multiply
    517,803.28x = 776,445.16 × 301,732
  4. Step 4: Simplify right side
    517,803.28x = 234,278,351,017.12
  5. Step 5: Solve for x
    x = 234,278,351,017.12/517,803.28
  6. Step 6: Final answer
    x = 452,446.63

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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.