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Finding the Fourth Proportional to 288,576.63, 398,346.81 and 258,308.55

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Solution

The fourth proportional to 288,576.63, 398,346.81 and 258,308.55 is: 356,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,576.63 : 398,346.81 = 258,308.55 : x
  2. Step 2: Convert to fraction form
    288,576.63/398,346.81 = 258,308.55/x
  3. Step 3: Cross multiply
    288,576.63x = 398,346.81 × 258,308.55
  4. Step 4: Simplify right side
    288,576.63x = 102,896,386,888.23
  5. Step 5: Solve for x
    x = 102,896,386,888.23/288,576.63
  6. Step 6: Final answer
    x = 356,565.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.