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Finding the Fourth Proportional to 390,187.88, 585,012.89 and 153,557.72

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Solution

The fourth proportional to 390,187.88, 585,012.89 and 153,557.72 is: 230,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,187.88 : 585,012.89 = 153,557.72 : x
  2. Step 2: Convert to fraction form
    390,187.88/585,012.89 = 153,557.72/x
  3. Step 3: Cross multiply
    390,187.88x = 585,012.89 × 153,557.72
  4. Step 4: Simplify right side
    390,187.88x = 89,833,243,017.84
  5. Step 5: Solve for x
    x = 89,833,243,017.84/390,187.88
  6. Step 6: Final answer
    x = 230,230.74

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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.