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Finding the Fourth Proportional to 415,409.11, 623,113.44 and 99,865.93

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Solution

The fourth proportional to 415,409.11, 623,113.44 and 99,865.93 is: 149,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,409.11 : 623,113.44 = 99,865.93 : x
  2. Step 2: Convert to fraction form
    415,409.11/623,113.44 = 99,865.93/x
  3. Step 3: Cross multiply
    415,409.11x = 623,113.44 × 99,865.93
  4. Step 4: Simplify right side
    415,409.11x = 62,227,803,181.10
  5. Step 5: Solve for x
    x = 62,227,803,181.10/415,409.11
  6. Step 6: Final answer
    x = 149,798.84

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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.