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Finding the Fourth Proportional to 390,524.76, 585,672.32 and 165,883.40

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Solution

The fourth proportional to 390,524.76, 585,672.32 and 165,883.40 is: 248,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,524.76 : 585,672.32 = 165,883.40 : x
  2. Step 2: Convert to fraction form
    390,524.76/585,672.32 = 165,883.40/x
  3. Step 3: Cross multiply
    390,524.76x = 585,672.32 × 165,883.40
  4. Step 4: Simplify right side
    390,524.76x = 97,153,315,727.49
  5. Step 5: Solve for x
    x = 97,153,315,727.49/390,524.76
  6. Step 6: Final answer
    x = 248,776.33

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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.