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Finding the Fourth Proportional to 200,294.40, 300,368.70 and 100,421.40

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Solution

The fourth proportional to 200,294.40, 300,368.70 and 100,421.40 is: 150,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294.40 : 300,368.70 = 100,421.40 : x
  2. Step 2: Convert to fraction form
    200,294.40/300,368.70 = 100,421.40/x
  3. Step 3: Cross multiply
    200,294.40x = 300,368.70 × 100,421.40
  4. Step 4: Simplify right side
    200,294.40x = 30,163,445,370.18
  5. Step 5: Solve for x
    x = 30,163,445,370.18/200,294.40
  6. Step 6: Final answer
    x = 150,595.55

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1.5x scale

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.