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Finding the Fourth Proportional to 288,703.40, 398,462.15 and 174,002.54

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Solution

The fourth proportional to 288,703.40, 398,462.15 and 174,002.54 is: 240,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703.40 : 398,462.15 = 174,002.54 : x
  2. Step 2: Convert to fraction form
    288,703.40/398,462.15 = 174,002.54/x
  3. Step 3: Cross multiply
    288,703.40x = 398,462.15 × 174,002.54
  4. Step 4: Simplify right side
    288,703.40x = 69,333,424,636.56
  5. Step 5: Solve for x
    x = 69,333,424,636.56/288,703.40
  6. Step 6: Final answer
    x = 240,154.52

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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.