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Finding the Fourth Proportional to 390,768.30, 586,152.46 and 110,285.56

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Solution

The fourth proportional to 390,768.30, 586,152.46 and 110,285.56 is: 165,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,768.30 : 586,152.46 = 110,285.56 : x
  2. Step 2: Convert to fraction form
    390,768.30/586,152.46 = 110,285.56/x
  3. Step 3: Cross multiply
    390,768.30x = 586,152.46 × 110,285.56
  4. Step 4: Simplify right side
    390,768.30x = 64,644,152,296.48
  5. Step 5: Solve for x
    x = 64,644,152,296.48/390,768.30
  6. Step 6: Final answer
    x = 165,428.34

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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.