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Finding the Fourth Proportional to 390,056.86, 585,085.29 and 137,277.82

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Solution

The fourth proportional to 390,056.86, 585,085.29 and 137,277.82 is: 205,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,056.86 : 585,085.29 = 137,277.82 : x
  2. Step 2: Convert to fraction form
    390,056.86/585,085.29 = 137,277.82/x
  3. Step 3: Cross multiply
    390,056.86x = 585,085.29 × 137,277.82
  4. Step 4: Simplify right side
    390,056.86x = 80,319,233,125.27
  5. Step 5: Solve for x
    x = 80,319,233,125.27/390,056.86
  6. Step 6: Final answer
    x = 205,916.73

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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.