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Finding the Fourth Proportional to 390,541.38, 538,959.81 and 216,113.58

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Solution

The fourth proportional to 390,541.38, 538,959.81 and 216,113.58 is: 298,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,541.38 : 538,959.81 = 216,113.58 : x
  2. Step 2: Convert to fraction form
    390,541.38/538,959.81 = 216,113.58/x
  3. Step 3: Cross multiply
    390,541.38x = 538,959.81 × 216,113.58
  4. Step 4: Simplify right side
    390,541.38x = 116,476,534,015.22
  5. Step 5: Solve for x
    x = 116,476,534,015.22/390,541.38
  6. Step 6: Final answer
    x = 298,243.77

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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.