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Finding the Fourth Proportional to 503,806.10, 695,264.85 and 310,141.76

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Solution

The fourth proportional to 503,806.10, 695,264.85 and 310,141.76 is: 428,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,806.10 : 695,264.85 = 310,141.76 : x
  2. Step 2: Convert to fraction form
    503,806.10/695,264.85 = 310,141.76/x
  3. Step 3: Cross multiply
    503,806.10x = 695,264.85 × 310,141.76
  4. Step 4: Simplify right side
    503,806.10x = 215,630,660,768.81
  5. Step 5: Solve for x
    x = 215,630,660,768.81/503,806.10
  6. Step 6: Final answer
    x = 428,003.28

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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.