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Finding the Fourth Proportional to 390,449.76, 584,567.76 and 256,928.48

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Solution

The fourth proportional to 390,449.76, 584,567.76 and 256,928.48 is: 384,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,449.76 : 584,567.76 = 256,928.48 : x
  2. Step 2: Convert to fraction form
    390,449.76/584,567.76 = 256,928.48/x
  3. Step 3: Cross multiply
    390,449.76x = 584,567.76 × 256,928.48
  4. Step 4: Simplify right side
    390,449.76x = 150,192,106,033.81
  5. Step 5: Solve for x
    x = 150,192,106,033.81/390,449.76
  6. Step 6: Final answer
    x = 384,664.36

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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.