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Finding the Fourth Proportional to 390,305.92, 584,351.76 and 255,526.96

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Solution

The fourth proportional to 390,305.92, 584,351.76 and 255,526.96 is: 382,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,305.92 : 584,351.76 = 255,526.96 : x
  2. Step 2: Convert to fraction form
    390,305.92/584,351.76 = 255,526.96/x
  3. Step 3: Cross multiply
    390,305.92x = 584,351.76 × 255,526.96
  4. Step 4: Simplify right side
    390,305.92x = 149,317,628,803.45
  5. Step 5: Solve for x
    x = 149,317,628,803.45/390,305.92
  6. Step 6: Final answer
    x = 382,565.63

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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.