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Finding the Fourth Proportional to 304,689.60, 420,468.72 and 175,580.64

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Solution

The fourth proportional to 304,689.60, 420,468.72 and 175,580.64 is: 242,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,689.60 : 420,468.72 = 175,580.64 : x
  2. Step 2: Convert to fraction form
    304,689.60/420,468.72 = 175,580.64/x
  3. Step 3: Cross multiply
    304,689.60x = 420,468.72 × 175,580.64
  4. Step 4: Simplify right side
    304,689.60x = 73,826,166,957.58
  5. Step 5: Solve for x
    x = 73,826,166,957.58/304,689.60
  6. Step 6: Final answer
    x = 242,299.60

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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.