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Finding the Fourth Proportional to 604,339.78, 906,324 and 199,457.42

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Solution

The fourth proportional to 604,339.78, 906,324 and 199,457.42 is: 299,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,339.78 : 906,324 = 199,457.42 : x
  2. Step 2: Convert to fraction form
    604,339.78/906,324 = 199,457.42/x
  3. Step 3: Cross multiply
    604,339.78x = 906,324 × 199,457.42
  4. Step 4: Simplify right side
    604,339.78x = 180,773,046,724.08
  5. Step 5: Solve for x
    x = 180,773,046,724.08/604,339.78
  6. Step 6: Final answer
    x = 299,124.85

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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.