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Finding the Fourth Proportional to 601,675, 830,320.68 and 329,740.68

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Solution

The fourth proportional to 601,675, 830,320.68 and 329,740.68 is: 455,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,675 : 830,320.68 = 329,740.68 : x
  2. Step 2: Convert to fraction form
    601,675/830,320.68 = 329,740.68/x
  3. Step 3: Cross multiply
    601,675x = 830,320.68 × 329,740.68
  4. Step 4: Simplify right side
    601,675x = 273,790,505,641.26
  5. Step 5: Solve for x
    x = 273,790,505,641.26/601,675
  6. Step 6: Final answer
    x = 455,047.17

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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.