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Finding the Fourth Proportional to 288,676.76, 432,964.10 and 78,331.10

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Solution

The fourth proportional to 288,676.76, 432,964.10 and 78,331.10 is: 117,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,676.76 : 432,964.10 = 78,331.10 : x
  2. Step 2: Convert to fraction form
    288,676.76/432,964.10 = 78,331.10/x
  3. Step 3: Cross multiply
    288,676.76x = 432,964.10 × 78,331.10
  4. Step 4: Simplify right side
    288,676.76x = 33,914,552,244.52
  5. Step 5: Solve for x
    x = 33,914,552,244.52/288,676.76
  6. Step 6: Final answer
    x = 117,482.80

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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.