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Finding the Fourth Proportional to 438,688.40, 658,032.60 and 158,205.65

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Solution

The fourth proportional to 438,688.40, 658,032.60 and 158,205.65 is: 237,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,688.40 : 658,032.60 = 158,205.65 : x
  2. Step 2: Convert to fraction form
    438,688.40/658,032.60 = 158,205.65/x
  3. Step 3: Cross multiply
    438,688.40x = 658,032.60 × 158,205.65
  4. Step 4: Simplify right side
    438,688.40x = 104,104,475,204.19
  5. Step 5: Solve for x
    x = 104,104,475,204.19/438,688.40
  6. Step 6: Final answer
    x = 237,308.48

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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.