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Finding the Fourth Proportional to 407,374, 562,176.12 and 228,526

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Solution

The fourth proportional to 407,374, 562,176.12 and 228,526 is: 315,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,374 : 562,176.12 = 228,526 : x
  2. Step 2: Convert to fraction form
    407,374/562,176.12 = 228,526/x
  3. Step 3: Cross multiply
    407,374x = 562,176.12 × 228,526
  4. Step 4: Simplify right side
    407,374x = 128,471,859,999.12
  5. Step 5: Solve for x
    x = 128,471,859,999.12/407,374
  6. Step 6: Final answer
    x = 315,365.88

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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.