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Finding the Fourth Proportional to 509,410.07, 764,275.13 and 210,031.55

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Solution

The fourth proportional to 509,410.07, 764,275.13 and 210,031.55 is: 315,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,410.07 : 764,275.13 = 210,031.55 : x
  2. Step 2: Convert to fraction form
    509,410.07/764,275.13 = 210,031.55/x
  3. Step 3: Cross multiply
    509,410.07x = 764,275.13 × 210,031.55
  4. Step 4: Simplify right side
    509,410.07x = 160,521,890,180.35
  5. Step 5: Solve for x
    x = 160,521,890,180.35/509,410.07
  6. Step 6: Final answer
    x = 315,113.30

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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.