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Finding the Fourth Proportional to 386,721.60, 581,637.60 and 346,286.40

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Solution

The fourth proportional to 386,721.60, 581,637.60 and 346,286.40 is: 520,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,721.60 : 581,637.60 = 346,286.40 : x
  2. Step 2: Convert to fraction form
    386,721.60/581,637.60 = 346,286.40/x
  3. Step 3: Cross multiply
    386,721.60x = 581,637.60 × 346,286.40
  4. Step 4: Simplify right side
    386,721.60x = 201,413,190,608.64
  5. Step 5: Solve for x
    x = 201,413,190,608.64/386,721.60
  6. Step 6: Final answer
    x = 520,822.19

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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.