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Finding the Fourth Proportional to 289,053.80, 433,407.90 and 149,085.80

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Solution

The fourth proportional to 289,053.80, 433,407.90 and 149,085.80 is: 223,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,053.80 : 433,407.90 = 149,085.80 : x
  2. Step 2: Convert to fraction form
    289,053.80/433,407.90 = 149,085.80/x
  3. Step 3: Cross multiply
    289,053.80x = 433,407.90 × 149,085.80
  4. Step 4: Simplify right side
    289,053.80x = 64,614,963,497.82
  5. Step 5: Solve for x
    x = 64,614,963,497.82/289,053.80
  6. Step 6: Final answer
    x = 223,539.57

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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.