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Finding the Fourth Proportional to 665,326.86, 917,861.37 and 407,215.30

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Solution

The fourth proportional to 665,326.86, 917,861.37 and 407,215.30 is: 561,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,326.86 : 917,861.37 = 407,215.30 : x
  2. Step 2: Convert to fraction form
    665,326.86/917,861.37 = 407,215.30/x
  3. Step 3: Cross multiply
    665,326.86x = 917,861.37 × 407,215.30
  4. Step 4: Simplify right side
    665,326.86x = 373,767,193,142.96
  5. Step 5: Solve for x
    x = 373,767,193,142.96/665,326.86
  6. Step 6: Final answer
    x = 561,779.80

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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.