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Finding the Fourth Proportional to 288,575.56, 432,863.34 and 78,213.50

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Solution

The fourth proportional to 288,575.56, 432,863.34 and 78,213.50 is: 117,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.56 : 432,863.34 = 78,213.50 : x
  2. Step 2: Convert to fraction form
    288,575.56/432,863.34 = 78,213.50/x
  3. Step 3: Cross multiply
    288,575.56x = 432,863.34 × 78,213.50
  4. Step 4: Simplify right side
    288,575.56x = 33,855,754,678.77
  5. Step 5: Solve for x
    x = 33,855,754,678.77/288,575.56
  6. Step 6: Final answer
    x = 117,320.24

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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.