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Finding the Fourth Proportional to 387,461.86, 581,159.76 and 134,677.45

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Solution

The fourth proportional to 387,461.86, 581,159.76 and 134,677.45 is: 202,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,461.86 : 581,159.76 = 134,677.45 : x
  2. Step 2: Convert to fraction form
    387,461.86/581,159.76 = 134,677.45/x
  3. Step 3: Cross multiply
    387,461.86x = 581,159.76 × 134,677.45
  4. Step 4: Simplify right side
    387,461.86x = 78,269,114,519.41
  5. Step 5: Solve for x
    x = 78,269,114,519.41/387,461.86
  6. Step 6: Final answer
    x = 202,004.69

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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.