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Finding the Fourth Proportional to 419,534.43, 578,956.71 and 228,547.77

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Solution

The fourth proportional to 419,534.43, 578,956.71 and 228,547.77 is: 315,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,534.43 : 578,956.71 = 228,547.77 : x
  2. Step 2: Convert to fraction form
    419,534.43/578,956.71 = 228,547.77/x
  3. Step 3: Cross multiply
    419,534.43x = 578,956.71 × 228,547.77
  4. Step 4: Simplify right side
    419,534.43x = 132,319,264,997.04
  5. Step 5: Solve for x
    x = 132,319,264,997.04/419,534.43
  6. Step 6: Final answer
    x = 315,395.48

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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.