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Finding the Fourth Proportional to 543,097.10, 749,509.08 and 301,380.20

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Solution

The fourth proportional to 543,097.10, 749,509.08 and 301,380.20 is: 415,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,097.10 : 749,509.08 = 301,380.20 : x
  2. Step 2: Convert to fraction form
    543,097.10/749,509.08 = 301,380.20/x
  3. Step 3: Cross multiply
    543,097.10x = 749,509.08 × 301,380.20
  4. Step 4: Simplify right side
    543,097.10x = 225,887,196,432.22
  5. Step 5: Solve for x
    x = 225,887,196,432.22/543,097.10
  6. Step 6: Final answer
    x = 415,924.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.