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Finding the Fourth Proportional to 283,011.54, 390,611.70 and 162,233.86

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Solution

The fourth proportional to 283,011.54, 390,611.70 and 162,233.86 is: 223,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,011.54 : 390,611.70 = 162,233.86 : x
  2. Step 2: Convert to fraction form
    283,011.54/390,611.70 = 162,233.86/x
  3. Step 3: Cross multiply
    283,011.54x = 390,611.70 × 162,233.86
  4. Step 4: Simplify right side
    283,011.54x = 63,370,443,852.16
  5. Step 5: Solve for x
    x = 63,370,443,852.16/283,011.54
  6. Step 6: Final answer
    x = 223,914.70

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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.