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Finding the Fourth Proportional to 343,082, 472,862.04 and 228,155.20

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Solution

The fourth proportional to 343,082, 472,862.04 and 228,155.20 is: 314,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,082 : 472,862.04 = 228,155.20 : x
  2. Step 2: Convert to fraction form
    343,082/472,862.04 = 228,155.20/x
  3. Step 3: Cross multiply
    343,082x = 472,862.04 × 228,155.20
  4. Step 4: Simplify right side
    343,082x = 107,885,933,308.61
  5. Step 5: Solve for x
    x = 107,885,933,308.61/343,082
  6. Step 6: Final answer
    x = 314,461.07

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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.