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Finding the Fourth Proportional to 200,126.10, 280,643.10 and 200,126.10

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Solution

The fourth proportional to 200,126.10, 280,643.10 and 200,126.10 is: 280,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.10 : 280,643.10 = 200,126.10 : x
  2. Step 2: Convert to fraction form
    200,126.10/280,643.10 = 200,126.10/x
  3. Step 3: Cross multiply
    200,126.10x = 280,643.10 × 200,126.10
  4. Step 4: Simplify right side
    200,126.10x = 56,164,009,094.91
  5. Step 5: Solve for x
    x = 56,164,009,094.91/200,126.10
  6. Step 6: Final answer
    x = 280,643.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.