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Finding the Fourth Proportional to 472,557.12, 652,238.28 and 311,440.80

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Solution

The fourth proportional to 472,557.12, 652,238.28 and 311,440.80 is: 429,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,557.12 : 652,238.28 = 311,440.80 : x
  2. Step 2: Convert to fraction form
    472,557.12/652,238.28 = 311,440.80/x
  3. Step 3: Cross multiply
    472,557.12x = 652,238.28 × 311,440.80
  4. Step 4: Simplify right side
    472,557.12x = 203,133,611,713.82
  5. Step 5: Solve for x
    x = 203,133,611,713.82/472,557.12
  6. Step 6: Final answer
    x = 429,860.44

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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.