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Finding the Fourth Proportional to 423,415.20, 584,319.60 and 232,446

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Solution

The fourth proportional to 423,415.20, 584,319.60 and 232,446 is: 320,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,415.20 : 584,319.60 = 232,446 : x
  2. Step 2: Convert to fraction form
    423,415.20/584,319.60 = 232,446/x
  3. Step 3: Cross multiply
    423,415.20x = 584,319.60 × 232,446
  4. Step 4: Simplify right side
    423,415.20x = 135,822,753,741.60
  5. Step 5: Solve for x
    x = 135,822,753,741.60/423,415.20
  6. Step 6: Final answer
    x = 320,779.12

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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.