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Finding the Fourth Proportional to 286,573.20, 429,276.60 and 146,410.80

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Solution

The fourth proportional to 286,573.20, 429,276.60 and 146,410.80 is: 219,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,573.20 : 429,276.60 = 146,410.80 : x
  2. Step 2: Convert to fraction form
    286,573.20/429,276.60 = 146,410.80/x
  3. Step 3: Cross multiply
    286,573.20x = 429,276.60 × 146,410.80
  4. Step 4: Simplify right side
    286,573.20x = 62,850,730,427.28
  5. Step 5: Solve for x
    x = 62,850,730,427.28/286,573.20
  6. Step 6: Final answer
    x = 219,318.24

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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.