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Finding the Fourth Proportional to 458,654.94, 687,958.11 and 143,075.70

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Solution

The fourth proportional to 458,654.94, 687,958.11 and 143,075.70 is: 214,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,654.94 : 687,958.11 = 143,075.70 : x
  2. Step 2: Convert to fraction form
    458,654.94/687,958.11 = 143,075.70/x
  3. Step 3: Cross multiply
    458,654.94x = 687,958.11 × 143,075.70
  4. Step 4: Simplify right side
    458,654.94x = 98,430,088,158.93
  5. Step 5: Solve for x
    x = 98,430,088,158.93/458,654.94
  6. Step 6: Final answer
    x = 214,605.97

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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.