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Finding the Fourth Proportional to 338,829.63, 508,140.76 and 114,129.82

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Solution

The fourth proportional to 338,829.63, 508,140.76 and 114,129.82 is: 171,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,829.63 : 508,140.76 = 114,129.82 : x
  2. Step 2: Convert to fraction form
    338,829.63/508,140.76 = 114,129.82/x
  3. Step 3: Cross multiply
    338,829.63x = 508,140.76 × 114,129.82
  4. Step 4: Simplify right side
    338,829.63x = 57,994,013,473.46
  5. Step 5: Solve for x
    x = 57,994,013,473.46/338,829.63
  6. Step 6: Final answer
    x = 171,159.81

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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.