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Finding the Fourth Proportional to 291,409.07, 402,156.92 and 162,347.47

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Solution

The fourth proportional to 291,409.07, 402,156.92 and 162,347.47 is: 224,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,409.07 : 402,156.92 = 162,347.47 : x
  2. Step 2: Convert to fraction form
    291,409.07/402,156.92 = 162,347.47/x
  3. Step 3: Cross multiply
    291,409.07x = 402,156.92 × 162,347.47
  4. Step 4: Simplify right side
    291,409.07x = 65,289,158,504.99
  5. Step 5: Solve for x
    x = 65,289,158,504.99/291,409.07
  6. Step 6: Final answer
    x = 224,046.42

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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.