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Finding the Fourth Proportional to 384,103.20, 576,154.80 and 317,618.40

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Solution

The fourth proportional to 384,103.20, 576,154.80 and 317,618.40 is: 476,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,103.20 : 576,154.80 = 317,618.40 : x
  2. Step 2: Convert to fraction form
    384,103.20/576,154.80 = 317,618.40/x
  3. Step 3: Cross multiply
    384,103.20x = 576,154.80 × 317,618.40
  4. Step 4: Simplify right side
    384,103.20x = 182,997,365,728.32
  5. Step 5: Solve for x
    x = 182,997,365,728.32/384,103.20
  6. Step 6: Final answer
    x = 476,427.60

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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.