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Finding the Fourth Proportional to 430,221.60, 645,332 and 130,700.96

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Solution

The fourth proportional to 430,221.60, 645,332 and 130,700.96 is: 196,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,221.60 : 645,332 = 130,700.96 : x
  2. Step 2: Convert to fraction form
    430,221.60/645,332 = 130,700.96/x
  3. Step 3: Cross multiply
    430,221.60x = 645,332 × 130,700.96
  4. Step 4: Simplify right side
    430,221.60x = 84,345,511,918.72
  5. Step 5: Solve for x
    x = 84,345,511,918.72/430,221.60
  6. Step 6: Final answer
    x = 196,051.32

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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.