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Finding the Fourth Proportional to 407,781.77, 562,512.01 and 378,915.80

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Solution

The fourth proportional to 407,781.77, 562,512.01 and 378,915.80 is: 522,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,781.77 : 562,512.01 = 378,915.80 : x
  2. Step 2: Convert to fraction form
    407,781.77/562,512.01 = 378,915.80/x
  3. Step 3: Cross multiply
    407,781.77x = 562,512.01 × 378,915.80
  4. Step 4: Simplify right side
    407,781.77x = 213,144,686,384.18
  5. Step 5: Solve for x
    x = 213,144,686,384.18/407,781.77
  6. Step 6: Final answer
    x = 522,693.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.