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Finding the Fourth Proportional to 255,457.60, 383,186.40 and 144,865.60

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Solution

The fourth proportional to 255,457.60, 383,186.40 and 144,865.60 is: 217,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,457.60 : 383,186.40 = 144,865.60 : x
  2. Step 2: Convert to fraction form
    255,457.60/383,186.40 = 144,865.60/x
  3. Step 3: Cross multiply
    255,457.60x = 383,186.40 × 144,865.60
  4. Step 4: Simplify right side
    255,457.60x = 55,510,527,747.84
  5. Step 5: Solve for x
    x = 55,510,527,747.84/255,457.60
  6. Step 6: Final answer
    x = 217,298.40

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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.