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Finding the Fourth Proportional to 357,120.72, 535,180.32 and 256,808.88

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Solution

The fourth proportional to 357,120.72, 535,180.32 and 256,808.88 is: 384,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,120.72 : 535,180.32 = 256,808.88 : x
  2. Step 2: Convert to fraction form
    357,120.72/535,180.32 = 256,808.88/x
  3. Step 3: Cross multiply
    357,120.72x = 535,180.32 × 256,808.88
  4. Step 4: Simplify right side
    357,120.72x = 137,439,058,577.24
  5. Step 5: Solve for x
    x = 137,439,058,577.24/357,120.72
  6. Step 6: Final answer
    x = 384,853.22

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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.