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Finding the Fourth Proportional to 423,133.04, 634,676 and 309,397.36

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Solution

The fourth proportional to 423,133.04, 634,676 and 309,397.36 is: 464,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,133.04 : 634,676 = 309,397.36 : x
  2. Step 2: Convert to fraction form
    423,133.04/634,676 = 309,397.36/x
  3. Step 3: Cross multiply
    423,133.04x = 634,676 × 309,397.36
  4. Step 4: Simplify right side
    423,133.04x = 196,367,078,855.36
  5. Step 5: Solve for x
    x = 196,367,078,855.36/423,133.04
  6. Step 6: Final answer
    x = 464,078.81

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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.