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Finding the Fourth Proportional to 312,005.10, 468,007.65 and 309,672.30

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Solution

The fourth proportional to 312,005.10, 468,007.65 and 309,672.30 is: 464,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,005.10 : 468,007.65 = 309,672.30 : x
  2. Step 2: Convert to fraction form
    312,005.10/468,007.65 = 309,672.30/x
  3. Step 3: Cross multiply
    312,005.10x = 468,007.65 × 309,672.30
  4. Step 4: Simplify right side
    312,005.10x = 144,929,005,393.10
  5. Step 5: Solve for x
    x = 144,929,005,393.10/312,005.10
  6. Step 6: Final answer
    x = 464,508.45

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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.