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Finding the Fourth Proportional to 257,460.30, 385,960.05 and 99,636.30

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Solution

The fourth proportional to 257,460.30, 385,960.05 and 99,636.30 is: 149,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,460.30 : 385,960.05 = 99,636.30 : x
  2. Step 2: Convert to fraction form
    257,460.30/385,960.05 = 99,636.30/x
  3. Step 3: Cross multiply
    257,460.30x = 385,960.05 × 99,636.30
  4. Step 4: Simplify right side
    257,460.30x = 38,455,631,329.82
  5. Step 5: Solve for x
    x = 38,455,631,329.82/257,460.30
  6. Step 6: Final answer
    x = 149,365.29

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1.5x scale

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.