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Finding the Fourth Proportional to 458,362.24, 686,729.76 and 191,534.56

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Solution

The fourth proportional to 458,362.24, 686,729.76 and 191,534.56 is: 286,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,362.24 : 686,729.76 = 191,534.56 : x
  2. Step 2: Convert to fraction form
    458,362.24/686,729.76 = 191,534.56/x
  3. Step 3: Cross multiply
    458,362.24x = 686,729.76 × 191,534.56
  4. Step 4: Simplify right side
    458,362.24x = 131,532,482,420.51
  5. Step 5: Solve for x
    x = 131,532,482,420.51/458,362.24
  6. Step 6: Final answer
    x = 286,961.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.