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Finding the Fourth Proportional to 256,998.80, 385,109.40 and 217,341.20

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Solution

The fourth proportional to 256,998.80, 385,109.40 and 217,341.20 is: 325,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.80 : 385,109.40 = 217,341.20 : x
  2. Step 2: Convert to fraction form
    256,998.80/385,109.40 = 217,341.20/x
  3. Step 3: Cross multiply
    256,998.80x = 385,109.40 × 217,341.20
  4. Step 4: Simplify right side
    256,998.80x = 83,700,139,127.28
  5. Step 5: Solve for x
    x = 83,700,139,127.28/256,998.80
  6. Step 6: Final answer
    x = 325,683.00

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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.