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Finding the Fourth Proportional to 442,058.40, 663,433.20 and 205,430.40

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Solution

The fourth proportional to 442,058.40, 663,433.20 and 205,430.40 is: 308,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,058.40 : 663,433.20 = 205,430.40 : x
  2. Step 2: Convert to fraction form
    442,058.40/663,433.20 = 205,430.40/x
  3. Step 3: Cross multiply
    442,058.40x = 663,433.20 × 205,430.40
  4. Step 4: Simplify right side
    442,058.40x = 136,289,347,649.28
  5. Step 5: Solve for x
    x = 136,289,347,649.28/442,058.40
  6. Step 6: Final answer
    x = 308,306.20

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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.