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Finding the Fourth Proportional to 289,341.66, 399,307.95 and 162,016.14

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Solution

The fourth proportional to 289,341.66, 399,307.95 and 162,016.14 is: 223,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,341.66 : 399,307.95 = 162,016.14 : x
  2. Step 2: Convert to fraction form
    289,341.66/399,307.95 = 162,016.14/x
  3. Step 3: Cross multiply
    289,341.66x = 399,307.95 × 162,016.14
  4. Step 4: Simplify right side
    289,341.66x = 64,694,332,730.31
  5. Step 5: Solve for x
    x = 64,694,332,730.31/289,341.66
  6. Step 6: Final answer
    x = 223,591.49

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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.