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Finding the Fourth Proportional to 601,639.80, 830,640.42 and 387,152.64

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Solution

The fourth proportional to 601,639.80, 830,640.42 and 387,152.64 is: 534,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,639.80 : 830,640.42 = 387,152.64 : x
  2. Step 2: Convert to fraction form
    601,639.80/830,640.42 = 387,152.64/x
  3. Step 3: Cross multiply
    601,639.80x = 830,640.42 × 387,152.64
  4. Step 4: Simplify right side
    601,639.80x = 321,584,631,493.71
  5. Step 5: Solve for x
    x = 321,584,631,493.71/601,639.80
  6. Step 6: Final answer
    x = 534,513.56

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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.