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Finding the Fourth Proportional to 419,776.79, 579,304.10 and 228,802.55

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Solution

The fourth proportional to 419,776.79, 579,304.10 and 228,802.55 is: 315,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,776.79 : 579,304.10 = 228,802.55 : x
  2. Step 2: Convert to fraction form
    419,776.79/579,304.10 = 228,802.55/x
  3. Step 3: Cross multiply
    419,776.79x = 579,304.10 × 228,802.55
  4. Step 4: Simplify right side
    419,776.79x = 132,546,252,980.94
  5. Step 5: Solve for x
    x = 132,546,252,980.94/419,776.79
  6. Step 6: Final answer
    x = 315,754.13

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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.