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Finding the Fourth Proportional to 458,643.70, 688,030.35 and 143,067.70

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Solution

The fourth proportional to 458,643.70, 688,030.35 and 143,067.70 is: 214,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,643.70 : 688,030.35 = 143,067.70 : x
  2. Step 2: Convert to fraction form
    458,643.70/688,030.35 = 143,067.70/x
  3. Step 3: Cross multiply
    458,643.70x = 688,030.35 × 143,067.70
  4. Step 4: Simplify right side
    458,643.70x = 98,434,919,704.70
  5. Step 5: Solve for x
    x = 98,434,919,704.70/458,643.70
  6. Step 6: Final answer
    x = 214,621.76

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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.