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Finding the Fourth Proportional to 430,605.65, 646,001.82 and 131,078.40

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Solution

The fourth proportional to 430,605.65, 646,001.82 and 131,078.40 is: 196,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,605.65 : 646,001.82 = 131,078.40 : x
  2. Step 2: Convert to fraction form
    430,605.65/646,001.82 = 131,078.40/x
  3. Step 3: Cross multiply
    430,605.65x = 646,001.82 × 131,078.40
  4. Step 4: Simplify right side
    430,605.65x = 84,676,884,962.69
  5. Step 5: Solve for x
    x = 84,676,884,962.69/430,605.65
  6. Step 6: Final answer
    x = 196,646.02

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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.