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Finding the Fourth Proportional to 256,722.84, 385,085.34 and 168,534.36

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Solution

The fourth proportional to 256,722.84, 385,085.34 and 168,534.36 is: 252,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.84 : 385,085.34 = 168,534.36 : x
  2. Step 2: Convert to fraction form
    256,722.84/385,085.34 = 168,534.36/x
  3. Step 3: Cross multiply
    256,722.84x = 385,085.34 × 168,534.36
  4. Step 4: Simplify right side
    256,722.84x = 64,900,111,322.28
  5. Step 5: Solve for x
    x = 64,900,111,322.28/256,722.84
  6. Step 6: Final answer
    x = 252,802.25

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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.