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Finding the Fourth Proportional to 291,905.86, 402,830.58 and 164,581.12

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Solution

The fourth proportional to 291,905.86, 402,830.58 and 164,581.12 is: 227,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,905.86 : 402,830.58 = 164,581.12 : x
  2. Step 2: Convert to fraction form
    291,905.86/402,830.58 = 164,581.12/x
  3. Step 3: Cross multiply
    291,905.86x = 402,830.58 × 164,581.12
  4. Step 4: Simplify right side
    291,905.86x = 66,298,308,026.65
  5. Step 5: Solve for x
    x = 66,298,308,026.65/291,905.86
  6. Step 6: Final answer
    x = 227,122.22

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