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Finding the Fourth Proportional to 288,734, 433,093.70 and 78,366.48

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Solution

The fourth proportional to 288,734, 433,093.70 and 78,366.48 is: 117,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,734 : 433,093.70 = 78,366.48 : x
  2. Step 2: Convert to fraction form
    288,734/433,093.70 = 78,366.48/x
  3. Step 3: Cross multiply
    288,734x = 433,093.70 × 78,366.48
  4. Step 4: Simplify right side
    288,734x = 33,940,028,779.18
  5. Step 5: Solve for x
    x = 33,940,028,779.18/288,734
  6. Step 6: Final answer
    x = 117,547.74

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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.