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Finding the Fourth Proportional to 318,905.40, 478,358.10 and 200,710.20

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Solution

The fourth proportional to 318,905.40, 478,358.10 and 200,710.20 is: 301,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,905.40 : 478,358.10 = 200,710.20 : x
  2. Step 2: Convert to fraction form
    318,905.40/478,358.10 = 200,710.20/x
  3. Step 3: Cross multiply
    318,905.40x = 478,358.10 × 200,710.20
  4. Step 4: Simplify right side
    318,905.40x = 96,011,349,922.62
  5. Step 5: Solve for x
    x = 96,011,349,922.62/318,905.40
  6. Step 6: Final answer
    x = 301,065.30

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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.