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Finding the Fourth Proportional to 612,819.10, 920,212.80 and 463,228.30

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Solution

The fourth proportional to 612,819.10, 920,212.80 and 463,228.30 is: 695,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,819.10 : 920,212.80 = 463,228.30 : x
  2. Step 2: Convert to fraction form
    612,819.10/920,212.80 = 463,228.30/x
  3. Step 3: Cross multiply
    612,819.10x = 920,212.80 × 463,228.30
  4. Step 4: Simplify right side
    612,819.10x = 426,268,610,982.24
  5. Step 5: Solve for x
    x = 426,268,610,982.24/612,819.10
  6. Step 6: Final answer
    x = 695,586.37

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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.