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Finding the Fourth Proportional to 407,754, 562,700.52 and 228,906

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Solution

The fourth proportional to 407,754, 562,700.52 and 228,906 is: 315,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,754 : 562,700.52 = 228,906 : x
  2. Step 2: Convert to fraction form
    407,754/562,700.52 = 228,906/x
  3. Step 3: Cross multiply
    407,754x = 562,700.52 × 228,906
  4. Step 4: Simplify right side
    407,754x = 128,805,525,231.12
  5. Step 5: Solve for x
    x = 128,805,525,231.12/407,754
  6. Step 6: Final answer
    x = 315,890.28

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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.