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Finding the Fourth Proportional to 390,156.06, 585,273.03 and 105,851.07

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Solution

The fourth proportional to 390,156.06, 585,273.03 and 105,851.07 is: 158,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,156.06 : 585,273.03 = 105,851.07 : x
  2. Step 2: Convert to fraction form
    390,156.06/585,273.03 = 105,851.07/x
  3. Step 3: Cross multiply
    390,156.06x = 585,273.03 × 105,851.07
  4. Step 4: Simplify right side
    390,156.06x = 61,951,776,467.64
  5. Step 5: Solve for x
    x = 61,951,776,467.64/390,156.06
  6. Step 6: Final answer
    x = 158,787.17

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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.