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Finding the Fourth Proportional to 413,263.68, 570,312.30 and 231,988.68

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Solution

The fourth proportional to 413,263.68, 570,312.30 and 231,988.68 is: 320,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,263.68 : 570,312.30 = 231,988.68 : x
  2. Step 2: Convert to fraction form
    413,263.68/570,312.30 = 231,988.68/x
  3. Step 3: Cross multiply
    413,263.68x = 570,312.30 × 231,988.68
  4. Step 4: Simplify right side
    413,263.68x = 132,305,997,664.76
  5. Step 5: Solve for x
    x = 132,305,997,664.76/413,263.68
  6. Step 6: Final answer
    x = 320,149.11

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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.