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Finding the Fourth Proportional to 415,353.63, 623,030.38 and 99,810.54

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Solution

The fourth proportional to 415,353.63, 623,030.38 and 99,810.54 is: 149,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,353.63 : 623,030.38 = 99,810.54 : x
  2. Step 2: Convert to fraction form
    415,353.63/623,030.38 = 99,810.54/x
  3. Step 3: Cross multiply
    415,353.63x = 623,030.38 × 99,810.54
  4. Step 4: Simplify right side
    415,353.63x = 62,184,998,664.21
  5. Step 5: Solve for x
    x = 62,184,998,664.21/415,353.63
  6. Step 6: Final answer
    x = 149,715.79

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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.