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Finding the Fourth Proportional to 384,063.40, 576,095.10 and 243,980.20

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Solution

The fourth proportional to 384,063.40, 576,095.10 and 243,980.20 is: 365,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,063.40 : 576,095.10 = 243,980.20 : x
  2. Step 2: Convert to fraction form
    384,063.40/576,095.10 = 243,980.20/x
  3. Step 3: Cross multiply
    384,063.40x = 576,095.10 × 243,980.20
  4. Step 4: Simplify right side
    384,063.40x = 140,555,797,717.02
  5. Step 5: Solve for x
    x = 140,555,797,717.02/384,063.40
  6. Step 6: Final answer
    x = 365,970.30

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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.