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Finding the Fourth Proportional to 528,900, 729,701.74 and 338,023.50

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Solution

The fourth proportional to 528,900, 729,701.74 and 338,023.50 is: 466,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,900 : 729,701.74 = 338,023.50 : x
  2. Step 2: Convert to fraction form
    528,900/729,701.74 = 338,023.50/x
  3. Step 3: Cross multiply
    528,900x = 729,701.74 × 338,023.50
  4. Step 4: Simplify right side
    528,900x = 246,656,336,110.89
  5. Step 5: Solve for x
    x = 246,656,336,110.89/528,900
  6. Step 6: Final answer
    x = 466,357.22

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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.