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Finding the Fourth Proportional to 255,715.20, 383,630.40 and 78,230.40

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Solution

The fourth proportional to 255,715.20, 383,630.40 and 78,230.40 is: 117,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,715.20 : 383,630.40 = 78,230.40 : x
  2. Step 2: Convert to fraction form
    255,715.20/383,630.40 = 78,230.40/x
  3. Step 3: Cross multiply
    255,715.20x = 383,630.40 × 78,230.40
  4. Step 4: Simplify right side
    255,715.20x = 30,011,559,644.16
  5. Step 5: Solve for x
    x = 30,011,559,644.16/255,715.20
  6. Step 6: Final answer
    x = 117,363.22

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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.