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Finding the Fourth Proportional to 205,160.68, 306,931.26 and 155,384.20

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Solution

The fourth proportional to 205,160.68, 306,931.26 and 155,384.20 is: 232,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,160.68 : 306,931.26 = 155,384.20 : x
  2. Step 2: Convert to fraction form
    205,160.68/306,931.26 = 155,384.20/x
  3. Step 3: Cross multiply
    205,160.68x = 306,931.26 × 155,384.20
  4. Step 4: Simplify right side
    205,160.68x = 47,692,268,290.09
  5. Step 5: Solve for x
    x = 47,692,268,290.09/205,160.68
  6. Step 6: Final answer
    x = 232,463.01

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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.