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Finding the Fourth Proportional to 390,873.16, 586,395.78 and 222,472.72

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Solution

The fourth proportional to 390,873.16, 586,395.78 and 222,472.72 is: 333,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,873.16 : 586,395.78 = 222,472.72 : x
  2. Step 2: Convert to fraction form
    390,873.16/586,395.78 = 222,472.72/x
  3. Step 3: Cross multiply
    390,873.16x = 586,395.78 × 222,472.72
  4. Step 4: Simplify right side
    390,873.16x = 130,457,064,173.12
  5. Step 5: Solve for x
    x = 130,457,064,173.12/390,873.16
  6. Step 6: Final answer
    x = 333,758.05

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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.