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Finding the Fourth Proportional to 283,127.79, 390,733.20 and 162,276.86

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Solution

The fourth proportional to 283,127.79, 390,733.20 and 162,276.86 is: 223,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,127.79 : 390,733.20 = 162,276.86 : x
  2. Step 2: Convert to fraction form
    283,127.79/390,733.20 = 162,276.86/x
  3. Step 3: Cross multiply
    283,127.79x = 390,733.20 × 162,276.86
  4. Step 4: Simplify right side
    283,127.79x = 63,406,954,840.09
  5. Step 5: Solve for x
    x = 63,406,954,840.09/283,127.79
  6. Step 6: Final answer
    x = 223,951.72

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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.