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Finding the Fourth Proportional to 288,956.96, 398,547.60 and 208,649.60

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Solution

The fourth proportional to 288,956.96, 398,547.60 and 208,649.60 is: 287,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,956.96 : 398,547.60 = 208,649.60 : x
  2. Step 2: Convert to fraction form
    288,956.96/398,547.60 = 208,649.60/x
  3. Step 3: Cross multiply
    288,956.96x = 398,547.60 × 208,649.60
  4. Step 4: Simplify right side
    288,956.96x = 83,156,797,320.96
  5. Step 5: Solve for x
    x = 83,156,797,320.96/288,956.96
  6. Step 6: Final answer
    x = 287,782.64

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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.