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Finding the Fourth Proportional to 288,856.91, 398,488.21 and 186,915.32

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Solution

The fourth proportional to 288,856.91, 398,488.21 and 186,915.32 is: 257,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,856.91 : 398,488.21 = 186,915.32 : x
  2. Step 2: Convert to fraction form
    288,856.91/398,488.21 = 186,915.32/x
  3. Step 3: Cross multiply
    288,856.91x = 398,488.21 × 186,915.32
  4. Step 4: Simplify right side
    288,856.91x = 74,483,548,828.65
  5. Step 5: Solve for x
    x = 74,483,548,828.65/288,856.91
  6. Step 6: Final answer
    x = 257,856.21

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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.