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Finding the Fourth Proportional to 409,635.19, 565,298.76 and 228,345.66

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Solution

The fourth proportional to 409,635.19, 565,298.76 and 228,345.66 is: 315,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.19 : 565,298.76 = 228,345.66 : x
  2. Step 2: Convert to fraction form
    409,635.19/565,298.76 = 228,345.66/x
  3. Step 3: Cross multiply
    409,635.19x = 565,298.76 × 228,345.66
  4. Step 4: Simplify right side
    409,635.19x = 129,083,518,449.38
  5. Step 5: Solve for x
    x = 129,083,518,449.38/409,635.19
  6. Step 6: Final answer
    x = 315,118.24

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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.