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Finding the Fourth Proportional to 288,856.08, 433,293 and 78,498.48

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Solution

The fourth proportional to 288,856.08, 433,293 and 78,498.48 is: 117,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,856.08 : 433,293 = 78,498.48 : x
  2. Step 2: Convert to fraction form
    288,856.08/433,293 = 78,498.48/x
  3. Step 3: Cross multiply
    288,856.08x = 433,293 × 78,498.48
  4. Step 4: Simplify right side
    288,856.08x = 34,012,841,894.64
  5. Step 5: Solve for x
    x = 34,012,841,894.64/288,856.08
  6. Step 6: Final answer
    x = 117,750.13

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1.5x scale

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.