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Finding the Fourth Proportional to 502,779.36, 754,298.64 and 147,804.96

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Solution

The fourth proportional to 502,779.36, 754,298.64 and 147,804.96 is: 221,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,779.36 : 754,298.64 = 147,804.96 : x
  2. Step 2: Convert to fraction form
    502,779.36/754,298.64 = 147,804.96/x
  3. Step 3: Cross multiply
    502,779.36x = 754,298.64 × 147,804.96
  4. Step 4: Simplify right side
    502,779.36x = 111,489,080,313.25
  5. Step 5: Solve for x
    x = 111,489,080,313.25/502,779.36
  6. Step 6: Final answer
    x = 221,745.54

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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.