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Finding the Fourth Proportional to 291,920.13, 402,849.86 and 164,595.74

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Solution

The fourth proportional to 291,920.13, 402,849.86 and 164,595.74 is: 227,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,920.13 : 402,849.86 = 164,595.74 : x
  2. Step 2: Convert to fraction form
    291,920.13/402,849.86 = 164,595.74/x
  3. Step 3: Cross multiply
    291,920.13x = 402,849.86 × 164,595.74
  4. Step 4: Simplify right side
    291,920.13x = 66,307,367,978.37
  5. Step 5: Solve for x
    x = 66,307,367,978.37/291,920.13
  6. Step 6: Final answer
    x = 227,142.16

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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.