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Finding the Fourth Proportional to 346,405.24, 478,052.58 and 195,499

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Solution

The fourth proportional to 346,405.24, 478,052.58 and 195,499 is: 269,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,405.24 : 478,052.58 = 195,499 : x
  2. Step 2: Convert to fraction form
    346,405.24/478,052.58 = 195,499/x
  3. Step 3: Cross multiply
    346,405.24x = 478,052.58 × 195,499
  4. Step 4: Simplify right side
    346,405.24x = 93,458,801,337.42
  5. Step 5: Solve for x
    x = 93,458,801,337.42/346,405.24
  6. Step 6: Final answer
    x = 269,796.15

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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.