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Finding the Fourth Proportional to 291,706.20, 438,020.10 and 213,370.20

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Solution

The fourth proportional to 291,706.20, 438,020.10 and 213,370.20 is: 320,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,706.20 : 438,020.10 = 213,370.20 : x
  2. Step 2: Convert to fraction form
    291,706.20/438,020.10 = 213,370.20/x
  3. Step 3: Cross multiply
    291,706.20x = 438,020.10 × 213,370.20
  4. Step 4: Simplify right side
    291,706.20x = 93,460,436,341.02
  5. Step 5: Solve for x
    x = 93,460,436,341.02/291,706.20
  6. Step 6: Final answer
    x = 320,392.35

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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.