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Finding the Fourth Proportional to 390,787.95, 586,274.07 and 311,127.09

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Solution

The fourth proportional to 390,787.95, 586,274.07 and 311,127.09 is: 466,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,787.95 : 586,274.07 = 311,127.09 : x
  2. Step 2: Convert to fraction form
    390,787.95/586,274.07 = 311,127.09/x
  3. Step 3: Cross multiply
    390,787.95x = 586,274.07 × 311,127.09
  4. Step 4: Simplify right side
    390,787.95x = 182,405,745,341.56
  5. Step 5: Solve for x
    x = 182,405,745,341.56/390,787.95
  6. Step 6: Final answer
    x = 466,764.00

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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.