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Finding the Fourth Proportional to 213,089.80, 320,412.30 and 178,875.40

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Solution

The fourth proportional to 213,089.80, 320,412.30 and 178,875.40 is: 268,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.80 : 320,412.30 = 178,875.40 : x
  2. Step 2: Convert to fraction form
    213,089.80/320,412.30 = 178,875.40/x
  3. Step 3: Cross multiply
    213,089.80x = 320,412.30 × 178,875.40
  4. Step 4: Simplify right side
    213,089.80x = 57,313,878,327.42
  5. Step 5: Solve for x
    x = 57,313,878,327.42/213,089.80
  6. Step 6: Final answer
    x = 268,965.85

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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.