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Finding the Fourth Proportional to 398,603.60, 597,907.58 and 99,084.18

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Solution

The fourth proportional to 398,603.60, 597,907.58 and 99,084.18 is: 148,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,603.60 : 597,907.58 = 99,084.18 : x
  2. Step 2: Convert to fraction form
    398,603.60/597,907.58 = 99,084.18/x
  3. Step 3: Cross multiply
    398,603.60x = 597,907.58 × 99,084.18
  4. Step 4: Simplify right side
    398,603.60x = 59,243,181,784.66
  5. Step 5: Solve for x
    x = 59,243,181,784.66/398,603.60
  6. Step 6: Final answer
    x = 148,626.81

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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.