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Finding the Fourth Proportional to 390,371.40, 585,557.10 and 232,907.40

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Solution

The fourth proportional to 390,371.40, 585,557.10 and 232,907.40 is: 349,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,371.40 : 585,557.10 = 232,907.40 : x
  2. Step 2: Convert to fraction form
    390,371.40/585,557.10 = 232,907.40/x
  3. Step 3: Cross multiply
    390,371.40x = 585,557.10 × 232,907.40
  4. Step 4: Simplify right side
    390,371.40x = 136,380,581,712.54
  5. Step 5: Solve for x
    x = 136,380,581,712.54/390,371.40
  6. Step 6: Final answer
    x = 349,361.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.