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Finding the Fourth Proportional to 309,602.16, 427,312.32 and 200,841.24

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Solution

The fourth proportional to 309,602.16, 427,312.32 and 200,841.24 is: 277,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,602.16 : 427,312.32 = 200,841.24 : x
  2. Step 2: Convert to fraction form
    309,602.16/427,312.32 = 200,841.24/x
  3. Step 3: Cross multiply
    309,602.16x = 427,312.32 × 200,841.24
  4. Step 4: Simplify right side
    309,602.16x = 85,821,936,216.08
  5. Step 5: Solve for x
    x = 85,821,936,216.08/309,602.16
  6. Step 6: Final answer
    x = 277,200.70

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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.