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Finding the Fourth Proportional to 390,265.86, 585,595.62 and 153,778.26

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Solution

The fourth proportional to 390,265.86, 585,595.62 and 153,778.26 is: 230,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,265.86 : 585,595.62 = 153,778.26 : x
  2. Step 2: Convert to fraction form
    390,265.86/585,595.62 = 153,778.26/x
  3. Step 3: Cross multiply
    390,265.86x = 585,595.62 × 153,778.26
  4. Step 4: Simplify right side
    390,265.86x = 90,051,875,507.22
  5. Step 5: Solve for x
    x = 90,051,875,507.22/390,265.86
  6. Step 6: Final answer
    x = 230,744.95

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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.