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Finding the Fourth Proportional to 288,038.44, 432,057.70 and 77,676.40

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Solution

The fourth proportional to 288,038.44, 432,057.70 and 77,676.40 is: 116,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,038.44 : 432,057.70 = 77,676.40 : x
  2. Step 2: Convert to fraction form
    288,038.44/432,057.70 = 77,676.40/x
  3. Step 3: Cross multiply
    288,038.44x = 432,057.70 × 77,676.40
  4. Step 4: Simplify right side
    288,038.44x = 33,560,686,728.28
  5. Step 5: Solve for x
    x = 33,560,686,728.28/288,038.44
  6. Step 6: Final answer
    x = 116,514.61

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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.