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Finding the Fourth Proportional to 345,624, 476,961.12 and 186,648

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Solution

The fourth proportional to 345,624, 476,961.12 and 186,648 is: 257,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,624 : 476,961.12 = 186,648 : x
  2. Step 2: Convert to fraction form
    345,624/476,961.12 = 186,648/x
  3. Step 3: Cross multiply
    345,624x = 476,961.12 × 186,648
  4. Step 4: Simplify right side
    345,624x = 89,023,839,125.76
  5. Step 5: Solve for x
    x = 89,023,839,125.76/345,624
  6. Step 6: Final answer
    x = 257,574.24

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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.