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Finding the Fourth Proportional to 288,109.80, 432,164.70 and 253,117.80

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Solution

The fourth proportional to 288,109.80, 432,164.70 and 253,117.80 is: 379,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,109.80 : 432,164.70 = 253,117.80 : x
  2. Step 2: Convert to fraction form
    288,109.80/432,164.70 = 253,117.80/x
  3. Step 3: Cross multiply
    288,109.80x = 432,164.70 × 253,117.80
  4. Step 4: Simplify right side
    288,109.80x = 109,388,578,101.66
  5. Step 5: Solve for x
    x = 109,388,578,101.66/288,109.80
  6. Step 6: Final answer
    x = 379,676.70

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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.