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Finding the Fourth Proportional to 389,206.78, 537,105.10 and 210,358.78

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Solution

The fourth proportional to 389,206.78, 537,105.10 and 210,358.78 is: 290,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,206.78 : 537,105.10 = 210,358.78 : x
  2. Step 2: Convert to fraction form
    389,206.78/537,105.10 = 210,358.78/x
  3. Step 3: Cross multiply
    389,206.78x = 537,105.10 × 210,358.78
  4. Step 4: Simplify right side
    389,206.78x = 112,984,773,567.78
  5. Step 5: Solve for x
    x = 112,984,773,567.78/389,206.78
  6. Step 6: Final answer
    x = 290,294.98

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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.