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Finding the Fourth Proportional to 309,280.64, 464,031.52 and 190,814.08

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Solution

The fourth proportional to 309,280.64, 464,031.52 and 190,814.08 is: 286,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,280.64 : 464,031.52 = 190,814.08 : x
  2. Step 2: Convert to fraction form
    309,280.64/464,031.52 = 190,814.08/x
  3. Step 3: Cross multiply
    309,280.64x = 464,031.52 × 190,814.08
  4. Step 4: Simplify right side
    309,280.64x = 88,543,747,579.80
  5. Step 5: Solve for x
    x = 88,543,747,579.80/309,280.64
  6. Step 6: Final answer
    x = 286,289.33

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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.