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Finding the Fourth Proportional to 213,686.40, 320,875.20 and 154,934.40

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Solution

The fourth proportional to 213,686.40, 320,875.20 and 154,934.40 is: 232,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,686.40 : 320,875.20 = 154,934.40 : x
  2. Step 2: Convert to fraction form
    213,686.40/320,875.20 = 154,934.40/x
  3. Step 3: Cross multiply
    213,686.40x = 320,875.20 × 154,934.40
  4. Step 4: Simplify right side
    213,686.40x = 49,714,606,586.88
  5. Step 5: Solve for x
    x = 49,714,606,586.88/213,686.40
  6. Step 6: Final answer
    x = 232,652.18

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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.