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Finding the Fourth Proportional to 208,719, 288,032.22 and 119,312.28

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Solution

The fourth proportional to 208,719, 288,032.22 and 119,312.28 is: 164,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,719 : 288,032.22 = 119,312.28 : x
  2. Step 2: Convert to fraction form
    208,719/288,032.22 = 119,312.28/x
  3. Step 3: Cross multiply
    208,719x = 288,032.22 × 119,312.28
  4. Step 4: Simplify right side
    208,719x = 34,365,780,881.66
  5. Step 5: Solve for x
    x = 34,365,780,881.66/208,719
  6. Step 6: Final answer
    x = 164,650.95

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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.