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Finding the Fourth Proportional to 400,907.40, 601,361.10 and 101,387.40

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Solution

The fourth proportional to 400,907.40, 601,361.10 and 101,387.40 is: 152,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,907.40 : 601,361.10 = 101,387.40 : x
  2. Step 2: Convert to fraction form
    400,907.40/601,361.10 = 101,387.40/x
  3. Step 3: Cross multiply
    400,907.40x = 601,361.10 × 101,387.40
  4. Step 4: Simplify right side
    400,907.40x = 60,970,438,390.14
  5. Step 5: Solve for x
    x = 60,970,438,390.14/400,907.40
  6. Step 6: Final answer
    x = 152,081.10

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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.