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Finding the Fourth Proportional to 315,699.48, 435,587.22 and 202,675.32

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Solution

The fourth proportional to 315,699.48, 435,587.22 and 202,675.32 is: 279,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,699.48 : 435,587.22 = 202,675.32 : x
  2. Step 2: Convert to fraction form
    315,699.48/435,587.22 = 202,675.32/x
  3. Step 3: Cross multiply
    315,699.48x = 435,587.22 × 202,675.32
  4. Step 4: Simplify right side
    315,699.48x = 88,282,779,201.41
  5. Step 5: Solve for x
    x = 88,282,779,201.41/315,699.48
  6. Step 6: Final answer
    x = 279,641.83

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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.