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Finding the Fourth Proportional to 288,466.90, 398,083.32 and 159,401.77

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Solution

The fourth proportional to 288,466.90, 398,083.32 and 159,401.77 is: 219,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,466.90 : 398,083.32 = 159,401.77 : x
  2. Step 2: Convert to fraction form
    288,466.90/398,083.32 = 159,401.77/x
  3. Step 3: Cross multiply
    288,466.90x = 398,083.32 × 159,401.77
  4. Step 4: Simplify right side
    288,466.90x = 63,455,185,815.48
  5. Step 5: Solve for x
    x = 63,455,185,815.48/288,466.90
  6. Step 6: Final answer
    x = 219,973.89

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1.5x scale

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.