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Finding the Fourth Proportional to 510,200.64, 764,414.40 and 358,075.20

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Solution

The fourth proportional to 510,200.64, 764,414.40 and 358,075.20 is: 536,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,200.64 : 764,414.40 = 358,075.20 : x
  2. Step 2: Convert to fraction form
    510,200.64/764,414.40 = 358,075.20/x
  3. Step 3: Cross multiply
    510,200.64x = 764,414.40 × 358,075.20
  4. Step 4: Simplify right side
    510,200.64x = 273,717,839,162.88
  5. Step 5: Solve for x
    x = 273,717,839,162.88/510,200.64
  6. Step 6: Final answer
    x = 536,490.58

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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.