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Finding the Fourth Proportional to 288,943.70, 433,416.90 and 101,955.20

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Solution

The fourth proportional to 288,943.70, 433,416.90 and 101,955.20 is: 152,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,943.70 : 433,416.90 = 101,955.20 : x
  2. Step 2: Convert to fraction form
    288,943.70/433,416.90 = 101,955.20/x
  3. Step 3: Cross multiply
    288,943.70x = 433,416.90 × 101,955.20
  4. Step 4: Simplify right side
    288,943.70x = 44,189,106,722.88
  5. Step 5: Solve for x
    x = 44,189,106,722.88/288,943.70
  6. Step 6: Final answer
    x = 152,933.28

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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.