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Finding the Fourth Proportional to 419,953.48, 579,548.50 and 228,970.06

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Solution

The fourth proportional to 419,953.48, 579,548.50 and 228,970.06 is: 315,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,953.48 : 579,548.50 = 228,970.06 : x
  2. Step 2: Convert to fraction form
    419,953.48/579,548.50 = 228,970.06/x
  3. Step 3: Cross multiply
    419,953.48x = 579,548.50 × 228,970.06
  4. Step 4: Simplify right side
    419,953.48x = 132,699,254,817.91
  5. Step 5: Solve for x
    x = 132,699,254,817.91/419,953.48
  6. Step 6: Final answer
    x = 315,985.61

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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.