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Finding the Fourth Proportional to 506,334.03, 699,044.16 and 315,605.76

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Solution

The fourth proportional to 506,334.03, 699,044.16 and 315,605.76 is: 435,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,334.03 : 699,044.16 = 315,605.76 : x
  2. Step 2: Convert to fraction form
    506,334.03/699,044.16 = 315,605.76/x
  3. Step 3: Cross multiply
    506,334.03x = 699,044.16 × 315,605.76
  4. Step 4: Simplify right side
    506,334.03x = 220,622,363,390.36
  5. Step 5: Solve for x
    x = 220,622,363,390.36/506,334.03
  6. Step 6: Final answer
    x = 435,724.94

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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.