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Finding the Fourth Proportional to 506,678.06, 699,228.69 and 305,487.02

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Solution

The fourth proportional to 506,678.06, 699,228.69 and 305,487.02 is: 421,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,678.06 : 699,228.69 = 305,487.02 : x
  2. Step 2: Convert to fraction form
    506,678.06/699,228.69 = 305,487.02/x
  3. Step 3: Cross multiply
    506,678.06x = 699,228.69 × 305,487.02
  4. Step 4: Simplify right side
    506,678.06x = 213,605,288,806.60
  5. Step 5: Solve for x
    x = 213,605,288,806.60/506,678.06
  6. Step 6: Final answer
    x = 421,579.91

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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.