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Finding the Fourth Proportional to 517,779.48, 775,007.10 and 277,559.40

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Solution

The fourth proportional to 517,779.48, 775,007.10 and 277,559.40 is: 415,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,779.48 : 775,007.10 = 277,559.40 : x
  2. Step 2: Convert to fraction form
    517,779.48/775,007.10 = 277,559.40/x
  3. Step 3: Cross multiply
    517,779.48x = 775,007.10 × 277,559.40
  4. Step 4: Simplify right side
    517,779.48x = 215,110,505,671.74
  5. Step 5: Solve for x
    x = 215,110,505,671.74/517,779.48
  6. Step 6: Final answer
    x = 415,448.11

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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.