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Finding the Fourth Proportional to 255,290.72, 382,513.86 and 155,146.77

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Solution

The fourth proportional to 255,290.72, 382,513.86 and 155,146.77 is: 232,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,290.72 : 382,513.86 = 155,146.77 : x
  2. Step 2: Convert to fraction form
    255,290.72/382,513.86 = 155,146.77/x
  3. Step 3: Cross multiply
    255,290.72x = 382,513.86 × 155,146.77
  4. Step 4: Simplify right side
    255,290.72x = 59,345,789,859.23
  5. Step 5: Solve for x
    x = 59,345,789,859.23/255,290.72
  6. Step 6: Final answer
    x = 232,463.57

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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.