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Finding the Fourth Proportional to 242,300, 334,338.12 and 145,483.40

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Solution

The fourth proportional to 242,300, 334,338.12 and 145,483.40 is: 200,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,300 : 334,338.12 = 145,483.40 : x
  2. Step 2: Convert to fraction form
    242,300/334,338.12 = 145,483.40/x
  3. Step 3: Cross multiply
    242,300x = 334,338.12 × 145,483.40
  4. Step 4: Simplify right side
    242,300x = 48,640,646,447.21
  5. Step 5: Solve for x
    x = 48,640,646,447.21/242,300
  6. Step 6: Final answer
    x = 200,745.55

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1.5x scale

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.