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Finding the Fourth Proportional to 390,155.40, 538,411.19 and 274,032.05

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Solution

The fourth proportional to 390,155.40, 538,411.19 and 274,032.05 is: 378,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,155.40 : 538,411.19 = 274,032.05 : x
  2. Step 2: Convert to fraction form
    390,155.40/538,411.19 = 274,032.05/x
  3. Step 3: Cross multiply
    390,155.40x = 538,411.19 × 274,032.05
  4. Step 4: Simplify right side
    390,155.40x = 147,541,918,076.42
  5. Step 5: Solve for x
    x = 147,541,918,076.42/390,155.40
  6. Step 6: Final answer
    x = 378,161.93

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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.