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Finding the Fourth Proportional to 406,509.80, 609,764.70 and 126,055.40

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Solution

The fourth proportional to 406,509.80, 609,764.70 and 126,055.40 is: 189,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,509.80 : 609,764.70 = 126,055.40 : x
  2. Step 2: Convert to fraction form
    406,509.80/609,764.70 = 126,055.40/x
  3. Step 3: Cross multiply
    406,509.80x = 609,764.70 × 126,055.40
  4. Step 4: Simplify right side
    406,509.80x = 76,864,133,164.38
  5. Step 5: Solve for x
    x = 76,864,133,164.38/406,509.80
  6. Step 6: Final answer
    x = 189,083.10

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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.