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Finding the Fourth Proportional to 256,820.34, 385,229.43 and 69,831.30

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Solution

The fourth proportional to 256,820.34, 385,229.43 and 69,831.30 is: 104,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,820.34 : 385,229.43 = 69,831.30 : x
  2. Step 2: Convert to fraction form
    256,820.34/385,229.43 = 69,831.30/x
  3. Step 3: Cross multiply
    256,820.34x = 385,229.43 × 69,831.30
  4. Step 4: Simplify right side
    256,820.34x = 26,901,071,895.16
  5. Step 5: Solve for x
    x = 26,901,071,895.16/256,820.34
  6. Step 6: Final answer
    x = 104,746.66

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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.