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Finding the Fourth Proportional to 312,288.02, 468,361.98 and 143,646.38

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Solution

The fourth proportional to 312,288.02, 468,361.98 and 143,646.38 is: 215,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.02 : 468,361.98 = 143,646.38 : x
  2. Step 2: Convert to fraction form
    312,288.02/468,361.98 = 143,646.38/x
  3. Step 3: Cross multiply
    312,288.02x = 468,361.98 × 143,646.38
  4. Step 4: Simplify right side
    312,288.02x = 67,278,502,956.63
  5. Step 5: Solve for x
    x = 67,278,502,956.63/312,288.02
  6. Step 6: Final answer
    x = 215,437.35

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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.