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Finding the Fourth Proportional to 405,312.48, 608,229.84 and 218,454.24

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Solution

The fourth proportional to 405,312.48, 608,229.84 and 218,454.24 is: 327,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,312.48 : 608,229.84 = 218,454.24 : x
  2. Step 2: Convert to fraction form
    405,312.48/608,229.84 = 218,454.24/x
  3. Step 3: Cross multiply
    405,312.48x = 608,229.84 × 218,454.24
  4. Step 4: Simplify right side
    405,312.48x = 132,870,387,442.52
  5. Step 5: Solve for x
    x = 132,870,387,442.52/405,312.48
  6. Step 6: Final answer
    x = 327,822.10

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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.