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Finding the Fourth Proportional to 611,438.60, 917,133.24 and 311,912.60

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Solution

The fourth proportional to 611,438.60, 917,133.24 and 311,912.60 is: 467,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,438.60 : 917,133.24 = 311,912.60 : x
  2. Step 2: Convert to fraction form
    611,438.60/917,133.24 = 311,912.60/x
  3. Step 3: Cross multiply
    611,438.60x = 917,133.24 × 311,912.60
  4. Step 4: Simplify right side
    611,438.60x = 286,065,413,434.82
  5. Step 5: Solve for x
    x = 286,065,413,434.82/611,438.60
  6. Step 6: Final answer
    x = 467,856.32

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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.