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Finding the Fourth Proportional to 255,547.56, 382,814.28 and 120,426.60

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Solution

The fourth proportional to 255,547.56, 382,814.28 and 120,426.60 is: 180,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547.56 : 382,814.28 = 120,426.60 : x
  2. Step 2: Convert to fraction form
    255,547.56/382,814.28 = 120,426.60/x
  3. Step 3: Cross multiply
    255,547.56x = 382,814.28 × 120,426.60
  4. Step 4: Simplify right side
    255,547.56x = 46,101,022,171.85
  5. Step 5: Solve for x
    x = 46,101,022,171.85/255,547.56
  6. Step 6: Final answer
    x = 180,400.95

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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.