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Finding the Fourth Proportional to 286,858.80, 430,288.20 and 162,442.80

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Solution

The fourth proportional to 286,858.80, 430,288.20 and 162,442.80 is: 243,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,858.80 : 430,288.20 = 162,442.80 : x
  2. Step 2: Convert to fraction form
    286,858.80/430,288.20 = 162,442.80/x
  3. Step 3: Cross multiply
    286,858.80x = 430,288.20 × 162,442.80
  4. Step 4: Simplify right side
    286,858.80x = 69,897,220,014.96
  5. Step 5: Solve for x
    x = 69,897,220,014.96/286,858.80
  6. Step 6: Final answer
    x = 243,664.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.