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Finding the Fourth Proportional to 209,561.72, 289,201.54 and 148,417.45

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Solution

The fourth proportional to 209,561.72, 289,201.54 and 148,417.45 is: 204,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,561.72 : 289,201.54 = 148,417.45 : x
  2. Step 2: Convert to fraction form
    209,561.72/289,201.54 = 148,417.45/x
  3. Step 3: Cross multiply
    209,561.72x = 289,201.54 × 148,417.45
  4. Step 4: Simplify right side
    209,561.72x = 42,922,554,008.83
  5. Step 5: Solve for x
    x = 42,922,554,008.83/209,561.72
  6. Step 6: Final answer
    x = 204,820.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.