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Finding the Fourth Proportional to 390,947.65, 585,652.59 and 257,423.09

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Solution

The fourth proportional to 390,947.65, 585,652.59 and 257,423.09 is: 385,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,947.65 : 585,652.59 = 257,423.09 : x
  2. Step 2: Convert to fraction form
    390,947.65/585,652.59 = 257,423.09/x
  3. Step 3: Cross multiply
    390,947.65x = 585,652.59 × 257,423.09
  4. Step 4: Simplify right side
    390,947.65x = 150,760,496,456.04
  5. Step 5: Solve for x
    x = 150,760,496,456.04/390,947.65
  6. Step 6: Final answer
    x = 385,628.35

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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.