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Finding the Fourth Proportional to 283,145.66, 390,653.05 and 160,617.83

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Solution

The fourth proportional to 283,145.66, 390,653.05 and 160,617.83 is: 221,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,145.66 : 390,653.05 = 160,617.83 : x
  2. Step 2: Convert to fraction form
    283,145.66/390,653.05 = 160,617.83/x
  3. Step 3: Cross multiply
    283,145.66x = 390,653.05 × 160,617.83
  4. Step 4: Simplify right side
    283,145.66x = 62,745,846,050.13
  5. Step 5: Solve for x
    x = 62,745,846,050.13/283,145.66
  6. Step 6: Final answer
    x = 221,602.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.