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Finding the Fourth Proportional to 412,260.37, 618,374.37 and 172,312.30

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Solution

The fourth proportional to 412,260.37, 618,374.37 and 172,312.30 is: 258,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,260.37 : 618,374.37 = 172,312.30 : x
  2. Step 2: Convert to fraction form
    412,260.37/618,374.37 = 172,312.30/x
  3. Step 3: Cross multiply
    412,260.37x = 618,374.37 × 172,312.30
  4. Step 4: Simplify right side
    412,260.37x = 106,553,506,863.88
  5. Step 5: Solve for x
    x = 106,553,506,863.88/412,260.37
  6. Step 6: Final answer
    x = 258,461.68

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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.