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Finding the Fourth Proportional to 277,720.40, 416,710.20 and 144,750.80

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Solution

The fourth proportional to 277,720.40, 416,710.20 and 144,750.80 is: 217,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,720.40 : 416,710.20 = 144,750.80 : x
  2. Step 2: Convert to fraction form
    277,720.40/416,710.20 = 144,750.80/x
  3. Step 3: Cross multiply
    277,720.40x = 416,710.20 × 144,750.80
  4. Step 4: Simplify right side
    277,720.40x = 60,319,134,818.16
  5. Step 5: Solve for x
    x = 60,319,134,818.16/277,720.40
  6. Step 6: Final answer
    x = 217,193.75

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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.