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Finding the Fourth Proportional to 390,880, 586,322.43 and 110,399.68

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Solution

The fourth proportional to 390,880, 586,322.43 and 110,399.68 is: 165,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,880 : 586,322.43 = 110,399.68 : x
  2. Step 2: Convert to fraction form
    390,880/586,322.43 = 110,399.68/x
  3. Step 3: Cross multiply
    390,880x = 586,322.43 × 110,399.68
  4. Step 4: Simplify right side
    390,880x = 64,729,808,648.82
  5. Step 5: Solve for x
    x = 64,729,808,648.82/390,880
  6. Step 6: Final answer
    x = 165,600.21

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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.