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Finding the Fourth Proportional to 398,742.93, 598,113.03 and 99,223.47

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Solution

The fourth proportional to 398,742.93, 598,113.03 and 99,223.47 is: 148,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742.93 : 598,113.03 = 99,223.47 : x
  2. Step 2: Convert to fraction form
    398,742.93/598,113.03 = 99,223.47/x
  3. Step 3: Cross multiply
    398,742.93x = 598,113.03 × 99,223.47
  4. Step 4: Simplify right side
    398,742.93x = 59,346,850,288.81
  5. Step 5: Solve for x
    x = 59,346,850,288.81/398,742.93
  6. Step 6: Final answer
    x = 148,834.87

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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.