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Finding the Fourth Proportional to 288,405.44, 432,538.72 and 78,045.12

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Solution

The fourth proportional to 288,405.44, 432,538.72 and 78,045.12 is: 117,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,405.44 : 432,538.72 = 78,045.12 : x
  2. Step 2: Convert to fraction form
    288,405.44/432,538.72 = 78,045.12/x
  3. Step 3: Cross multiply
    288,405.44x = 432,538.72 × 78,045.12
  4. Step 4: Simplify right side
    288,405.44x = 33,757,536,307.05
  5. Step 5: Solve for x
    x = 33,757,536,307.05/288,405.44
  6. Step 6: Final answer
    x = 117,048.89

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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.