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Finding the Fourth Proportional to 510,201.64, 764,415.90 and 358,076.20

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Solution

The fourth proportional to 510,201.64, 764,415.90 and 358,076.20 is: 536,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,201.64 : 764,415.90 = 358,076.20 : x
  2. Step 2: Convert to fraction form
    510,201.64/764,415.90 = 358,076.20/x
  3. Step 3: Cross multiply
    510,201.64x = 764,415.90 × 358,076.20
  4. Step 4: Simplify right side
    510,201.64x = 273,719,140,691.58
  5. Step 5: Solve for x
    x = 273,719,140,691.58/510,201.64
  6. Step 6: Final answer
    x = 536,492.08

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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.