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Finding the Fourth Proportional to 472,014.80, 651,378.48 and 257,154.20

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Solution

The fourth proportional to 472,014.80, 651,378.48 and 257,154.20 is: 354,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,014.80 : 651,378.48 = 257,154.20 : x
  2. Step 2: Convert to fraction form
    472,014.80/651,378.48 = 257,154.20/x
  3. Step 3: Cross multiply
    472,014.80x = 651,378.48 × 257,154.20
  4. Step 4: Simplify right side
    472,014.80x = 167,504,711,921.62
  5. Step 5: Solve for x
    x = 167,504,711,921.62/472,014.80
  6. Step 6: Final answer
    x = 354,871.74

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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.