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Finding the Fourth Proportional to 256,983.70, 354,297.74 and 210,874.45

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Solution

The fourth proportional to 256,983.70, 354,297.74 and 210,874.45 is: 290,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,983.70 : 354,297.74 = 210,874.45 : x
  2. Step 2: Convert to fraction form
    256,983.70/354,297.74 = 210,874.45/x
  3. Step 3: Cross multiply
    256,983.70x = 354,297.74 × 210,874.45
  4. Step 4: Simplify right side
    256,983.70x = 74,712,341,058.74
  5. Step 5: Solve for x
    x = 74,712,341,058.74/256,983.70
  6. Step 6: Final answer
    x = 290,727.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.