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Finding the Fourth Proportional to 477,779.58, 715,881.65 and 277,537.86

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Solution

The fourth proportional to 477,779.58, 715,881.65 and 277,537.86 is: 415,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,779.58 : 715,881.65 = 277,537.86 : x
  2. Step 2: Convert to fraction form
    477,779.58/715,881.65 = 277,537.86/x
  3. Step 3: Cross multiply
    477,779.58x = 715,881.65 × 277,537.86
  4. Step 4: Simplify right side
    477,779.58x = 198,684,259,766.58
  5. Step 5: Solve for x
    x = 198,684,259,766.58/477,779.58
  6. Step 6: Final answer
    x = 415,849.21

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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.