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Finding the Fourth Proportional to 387,633.80, 581,018.70 and 150,897.80

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Solution

The fourth proportional to 387,633.80, 581,018.70 and 150,897.80 is: 226,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,633.80 : 581,018.70 = 150,897.80 : x
  2. Step 2: Convert to fraction form
    387,633.80/581,018.70 = 150,897.80/x
  3. Step 3: Cross multiply
    387,633.80x = 581,018.70 × 150,897.80
  4. Step 4: Simplify right side
    387,633.80x = 87,674,443,588.86
  5. Step 5: Solve for x
    x = 87,674,443,588.86/387,633.80
  6. Step 6: Final answer
    x = 226,178.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.