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Finding the Fourth Proportional to 255,570.28, 383,328.72 and 113,417.98

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Solution

The fourth proportional to 255,570.28, 383,328.72 and 113,417.98 is: 170,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,570.28 : 383,328.72 = 113,417.98 : x
  2. Step 2: Convert to fraction form
    255,570.28/383,328.72 = 113,417.98/x
  3. Step 3: Cross multiply
    255,570.28x = 383,328.72 × 113,417.98
  4. Step 4: Simplify right side
    255,570.28x = 43,476,369,098.39
  5. Step 5: Solve for x
    x = 43,476,369,098.39/255,570.28
  6. Step 6: Final answer
    x = 170,115.12

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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.