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Finding the Fourth Proportional to 407,128.50, 561,779.14 and 243,745.86

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Solution

The fourth proportional to 407,128.50, 561,779.14 and 243,745.86 is: 336,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,128.50 : 561,779.14 = 243,745.86 : x
  2. Step 2: Convert to fraction form
    407,128.50/561,779.14 = 243,745.86/x
  3. Step 3: Cross multiply
    407,128.50x = 561,779.14 × 243,745.86
  4. Step 4: Simplify right side
    407,128.50x = 136,931,339,609.36
  5. Step 5: Solve for x
    x = 136,931,339,609.36/407,128.50
  6. Step 6: Final answer
    x = 336,334.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.