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Finding the Fourth Proportional to 419,264.70, 578,569.74 and 228,274.26

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Solution

The fourth proportional to 419,264.70, 578,569.74 and 228,274.26 is: 315,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,264.70 : 578,569.74 = 228,274.26 : x
  2. Step 2: Convert to fraction form
    419,264.70/578,569.74 = 228,274.26/x
  3. Step 3: Cross multiply
    419,264.70x = 578,569.74 × 228,274.26
  4. Step 4: Simplify right side
    419,264.70x = 132,072,579,256.89
  5. Step 5: Solve for x
    x = 132,072,579,256.89/419,264.70
  6. Step 6: Final answer
    x = 315,010.01

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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.