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Finding the Fourth Proportional to 283,155.09, 390,830.79 and 166,970.03

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Solution

The fourth proportional to 283,155.09, 390,830.79 and 166,970.03 is: 230,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,155.09 : 390,830.79 = 166,970.03 : x
  2. Step 2: Convert to fraction form
    283,155.09/390,830.79 = 166,970.03/x
  3. Step 3: Cross multiply
    283,155.09x = 390,830.79 × 166,970.03
  4. Step 4: Simplify right side
    283,155.09x = 65,257,029,708.30
  5. Step 5: Solve for x
    x = 65,257,029,708.30/283,155.09
  6. Step 6: Final answer
    x = 230,463.91

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1.5x scale

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.