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Finding the Fourth Proportional to 255,807.86, 383,493.02 and 98,149.46

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Solution

The fourth proportional to 255,807.86, 383,493.02 and 98,149.46 is: 147,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,807.86 : 383,493.02 = 98,149.46 : x
  2. Step 2: Convert to fraction form
    255,807.86/383,493.02 = 98,149.46/x
  3. Step 3: Cross multiply
    255,807.86x = 383,493.02 × 98,149.46
  4. Step 4: Simplify right side
    255,807.86x = 37,639,630,418.56
  5. Step 5: Solve for x
    x = 37,639,630,418.56/255,807.86
  6. Step 6: Final answer
    x = 147,140.24

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1.5x scale

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.