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Finding the Fourth Proportional to 616,750.72, 851,258.24 and 401,516

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Solution

The fourth proportional to 616,750.72, 851,258.24 and 401,516 is: 554,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,750.72 : 851,258.24 = 401,516 : x
  2. Step 2: Convert to fraction form
    616,750.72/851,258.24 = 401,516/x
  3. Step 3: Cross multiply
    616,750.72x = 851,258.24 × 401,516
  4. Step 4: Simplify right side
    616,750.72x = 341,793,803,491.84
  5. Step 5: Solve for x
    x = 341,793,803,491.84/616,750.72
  6. Step 6: Final answer
    x = 554,184.69

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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.