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Finding the Fourth Proportional to 423,409.20, 584,311.32 and 232,440

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Solution

The fourth proportional to 423,409.20, 584,311.32 and 232,440 is: 320,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,409.20 : 584,311.32 = 232,440 : x
  2. Step 2: Convert to fraction form
    423,409.20/584,311.32 = 232,440/x
  3. Step 3: Cross multiply
    423,409.20x = 584,311.32 × 232,440
  4. Step 4: Simplify right side
    423,409.20x = 135,817,323,220.80
  5. Step 5: Solve for x
    x = 135,817,323,220.80/423,409.20
  6. Step 6: Final answer
    x = 320,770.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.