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Finding the Fourth Proportional to 277,915.68, 416,666.16 and 130,137.12

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Solution

The fourth proportional to 277,915.68, 416,666.16 and 130,137.12 is: 195,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,915.68 : 416,666.16 = 130,137.12 : x
  2. Step 2: Convert to fraction form
    277,915.68/416,666.16 = 130,137.12/x
  3. Step 3: Cross multiply
    277,915.68x = 416,666.16 × 130,137.12
  4. Step 4: Simplify right side
    277,915.68x = 54,223,734,063.86
  5. Step 5: Solve for x
    x = 54,223,734,063.86/277,915.68
  6. Step 6: Final answer
    x = 195,108.58

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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.