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Finding the Fourth Proportional to 384,645.40, 576,968.10 and 207,498.40

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Solution

The fourth proportional to 384,645.40, 576,968.10 and 207,498.40 is: 311,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,645.40 : 576,968.10 = 207,498.40 : x
  2. Step 2: Convert to fraction form
    384,645.40/576,968.10 = 207,498.40/x
  3. Step 3: Cross multiply
    384,645.40x = 576,968.10 × 207,498.40
  4. Step 4: Simplify right side
    384,645.40x = 119,719,957,601.04
  5. Step 5: Solve for x
    x = 119,719,957,601.04/384,645.40
  6. Step 6: Final answer
    x = 311,247.60

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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.