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Finding the Fourth Proportional to 524,614.20, 786,921.30 and 209,297.40

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Solution

The fourth proportional to 524,614.20, 786,921.30 and 209,297.40 is: 313,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,614.20 : 786,921.30 = 209,297.40 : x
  2. Step 2: Convert to fraction form
    524,614.20/786,921.30 = 209,297.40/x
  3. Step 3: Cross multiply
    524,614.20x = 786,921.30 × 209,297.40
  4. Step 4: Simplify right side
    524,614.20x = 164,700,582,094.62
  5. Step 5: Solve for x
    x = 164,700,582,094.62/524,614.20
  6. Step 6: Final answer
    x = 313,946.10

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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.