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Finding the Fourth Proportional to 509,788.52, 764,551.56 and 210,354.20

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Solution

The fourth proportional to 509,788.52, 764,551.56 and 210,354.20 is: 315,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788.52 : 764,551.56 = 210,354.20 : x
  2. Step 2: Convert to fraction form
    509,788.52/764,551.56 = 210,354.20/x
  3. Step 3: Cross multiply
    509,788.52x = 764,551.56 × 210,354.20
  4. Step 4: Simplify right side
    509,788.52x = 160,826,631,762.55
  5. Step 5: Solve for x
    x = 160,826,631,762.55/509,788.52
  6. Step 6: Final answer
    x = 315,477.15

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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.