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Finding the Fourth Proportional to 408,427.65, 612,641.48 and 390,056.85

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Solution

The fourth proportional to 408,427.65, 612,641.48 and 390,056.85 is: 585,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,427.65 : 612,641.48 = 390,056.85 : x
  2. Step 2: Convert to fraction form
    408,427.65/612,641.48 = 390,056.85/x
  3. Step 3: Cross multiply
    408,427.65x = 612,641.48 × 390,056.85
  4. Step 4: Simplify right side
    408,427.65x = 238,965,003,917.85
  5. Step 5: Solve for x
    x = 238,965,003,917.85/408,427.65
  6. Step 6: Final answer
    x = 585,085.28

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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.