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Finding the Fourth Proportional to 288,210.70, 432,316.05 and 101,222.20

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Solution

The fourth proportional to 288,210.70, 432,316.05 and 101,222.20 is: 151,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,210.70 : 432,316.05 = 101,222.20 : x
  2. Step 2: Convert to fraction form
    288,210.70/432,316.05 = 101,222.20/x
  3. Step 3: Cross multiply
    288,210.70x = 432,316.05 × 101,222.20
  4. Step 4: Simplify right side
    288,210.70x = 43,759,981,676.31
  5. Step 5: Solve for x
    x = 43,759,981,676.31/288,210.70
  6. Step 6: Final answer
    x = 151,833.30

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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.