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Finding the Fourth Proportional to 445,827, 668,779.38 and 113,403

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Solution

The fourth proportional to 445,827, 668,779.38 and 113,403 is: 170,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,827 : 668,779.38 = 113,403 : x
  2. Step 2: Convert to fraction form
    445,827/668,779.38 = 113,403/x
  3. Step 3: Cross multiply
    445,827x = 668,779.38 × 113,403
  4. Step 4: Simplify right side
    445,827x = 75,841,588,030.14
  5. Step 5: Solve for x
    x = 75,841,588,030.14/445,827
  6. Step 6: Final answer
    x = 170,114.39

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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.