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Finding the Fourth Proportional to 288,998.70, 433,498.05 and 149,030.70

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Solution

The fourth proportional to 288,998.70, 433,498.05 and 149,030.70 is: 223,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,998.70 : 433,498.05 = 149,030.70 : x
  2. Step 2: Convert to fraction form
    288,998.70/433,498.05 = 149,030.70/x
  3. Step 3: Cross multiply
    288,998.70x = 433,498.05 × 149,030.70
  4. Step 4: Simplify right side
    288,998.70x = 64,604,517,840.14
  5. Step 5: Solve for x
    x = 64,604,517,840.14/288,998.70
  6. Step 6: Final answer
    x = 223,546.05

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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.