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Finding the Fourth Proportional to 413,795.30, 621,000.15 and 164,656.10

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Solution

The fourth proportional to 413,795.30, 621,000.15 and 164,656.10 is: 247,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,795.30 : 621,000.15 = 164,656.10 : x
  2. Step 2: Convert to fraction form
    413,795.30/621,000.15 = 164,656.10/x
  3. Step 3: Cross multiply
    413,795.30x = 621,000.15 × 164,656.10
  4. Step 4: Simplify right side
    413,795.30x = 102,251,462,798.42
  5. Step 5: Solve for x
    x = 102,251,462,798.42/413,795.30
  6. Step 6: Final answer
    x = 247,106.39

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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.