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Finding the Fourth Proportional to 305,266.32, 421,264.80 and 171,130.32

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Solution

The fourth proportional to 305,266.32, 421,264.80 and 171,130.32 is: 236,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,266.32 : 421,264.80 = 171,130.32 : x
  2. Step 2: Convert to fraction form
    305,266.32/421,264.80 = 171,130.32/x
  3. Step 3: Cross multiply
    305,266.32x = 421,264.80 × 171,130.32
  4. Step 4: Simplify right side
    305,266.32x = 72,091,180,028.74
  5. Step 5: Solve for x
    x = 72,091,180,028.74/305,266.32
  6. Step 6: Final answer
    x = 236,158.32

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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.