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Finding the Fourth Proportional to 387,657.40, 581,505.30 and 201,033.40

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Solution

The fourth proportional to 387,657.40, 581,505.30 and 201,033.40 is: 301,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,657.40 : 581,505.30 = 201,033.40 : x
  2. Step 2: Convert to fraction form
    387,657.40/581,505.30 = 201,033.40/x
  3. Step 3: Cross multiply
    387,657.40x = 581,505.30 × 201,033.40
  4. Step 4: Simplify right side
    387,657.40x = 116,901,987,577.02
  5. Step 5: Solve for x
    x = 116,901,987,577.02/387,657.40
  6. Step 6: Final answer
    x = 301,560.06

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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.