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Finding the Fourth Proportional to 387,675.93, 581,275.74 and 150,742.42

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Solution

The fourth proportional to 387,675.93, 581,275.74 and 150,742.42 is: 226,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,675.93 : 581,275.74 = 150,742.42 : x
  2. Step 2: Convert to fraction form
    387,675.93/581,275.74 = 150,742.42/x
  3. Step 3: Cross multiply
    387,675.93x = 581,275.74 × 150,742.42
  4. Step 4: Simplify right side
    387,675.93x = 87,622,911,734.89
  5. Step 5: Solve for x
    x = 87,622,911,734.89/387,675.93
  6. Step 6: Final answer
    x = 226,021.03

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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.