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Finding the Fourth Proportional to 310,515.40, 465,445.05 and 177,108.40

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Solution

The fourth proportional to 310,515.40, 465,445.05 and 177,108.40 is: 265,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,515.40 : 465,445.05 = 177,108.40 : x
  2. Step 2: Convert to fraction form
    310,515.40/465,445.05 = 177,108.40/x
  3. Step 3: Cross multiply
    310,515.40x = 465,445.05 × 177,108.40
  4. Step 4: Simplify right side
    310,515.40x = 82,434,228,093.42
  5. Step 5: Solve for x
    x = 82,434,228,093.42/310,515.40
  6. Step 6: Final answer
    x = 265,475.49

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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.