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Finding the Fourth Proportional to 343,002.55, 512,056.79 and 320,208.66

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Solution

The fourth proportional to 343,002.55, 512,056.79 and 320,208.66 is: 478,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,002.55 : 512,056.79 = 320,208.66 : x
  2. Step 2: Convert to fraction form
    343,002.55/512,056.79 = 320,208.66/x
  3. Step 3: Cross multiply
    343,002.55x = 512,056.79 × 320,208.66
  4. Step 4: Simplify right side
    343,002.55x = 163,965,018,169.54
  5. Step 5: Solve for x
    x = 163,965,018,169.54/343,002.55
  6. Step 6: Final answer
    x = 478,028.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.