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Finding the Fourth Proportional to 309,007.80, 463,511.70 and 190,909.80

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Solution

The fourth proportional to 309,007.80, 463,511.70 and 190,909.80 is: 286,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,007.80 : 463,511.70 = 190,909.80 : x
  2. Step 2: Convert to fraction form
    309,007.80/463,511.70 = 190,909.80/x
  3. Step 3: Cross multiply
    309,007.80x = 463,511.70 × 190,909.80
  4. Step 4: Simplify right side
    309,007.80x = 88,488,925,944.66
  5. Step 5: Solve for x
    x = 88,488,925,944.66/309,007.80
  6. Step 6: Final answer
    x = 286,364.70

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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.