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Finding the Fourth Proportional to 255,407.40, 383,329.80 and 113,471.10

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Solution

The fourth proportional to 255,407.40, 383,329.80 and 113,471.10 is: 170,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,407.40 : 383,329.80 = 113,471.10 : x
  2. Step 2: Convert to fraction form
    255,407.40/383,329.80 = 113,471.10/x
  3. Step 3: Cross multiply
    255,407.40x = 383,329.80 × 113,471.10
  4. Step 4: Simplify right side
    255,407.40x = 43,496,854,068.78
  5. Step 5: Solve for x
    x = 43,496,854,068.78/255,407.40
  6. Step 6: Final answer
    x = 170,303.81

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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.