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Finding the Fourth Proportional to 257,006.82, 385,602.45 and 114,840.21

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Solution

The fourth proportional to 257,006.82, 385,602.45 and 114,840.21 is: 172,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,006.82 : 385,602.45 = 114,840.21 : x
  2. Step 2: Convert to fraction form
    257,006.82/385,602.45 = 114,840.21/x
  3. Step 3: Cross multiply
    257,006.82x = 385,602.45 × 114,840.21
  4. Step 4: Simplify right side
    257,006.82x = 44,282,666,334.51
  5. Step 5: Solve for x
    x = 44,282,666,334.51/257,006.82
  6. Step 6: Final answer
    x = 172,301.52

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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.