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Finding the Fourth Proportional to 283,202.76, 390,830.22 and 155,883.72

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Solution

The fourth proportional to 283,202.76, 390,830.22 and 155,883.72 is: 215,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,202.76 : 390,830.22 = 155,883.72 : x
  2. Step 2: Convert to fraction form
    283,202.76/390,830.22 = 155,883.72/x
  3. Step 3: Cross multiply
    283,202.76x = 390,830.22 × 155,883.72
  4. Step 4: Simplify right side
    283,202.76x = 60,924,068,582.02
  5. Step 5: Solve for x
    x = 60,924,068,582.02/283,202.76
  6. Step 6: Final answer
    x = 215,125.26

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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.