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Finding the Fourth Proportional to 282,852, 390,346.70 and 155,524.86

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Solution

The fourth proportional to 282,852, 390,346.70 and 155,524.86 is: 214,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,852 : 390,346.70 = 155,524.86 : x
  2. Step 2: Convert to fraction form
    282,852/390,346.70 = 155,524.86/x
  3. Step 3: Cross multiply
    282,852x = 390,346.70 × 155,524.86
  4. Step 4: Simplify right side
    282,852x = 60,708,615,091.34
  5. Step 5: Solve for x
    x = 60,708,615,091.34/282,852
  6. Step 6: Final answer
    x = 214,630.32

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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.