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Finding the Fourth Proportional to 431,030.66, 646,599.67 and 146,699.36

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Solution

The fourth proportional to 431,030.66, 646,599.67 and 146,699.36 is: 220,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,030.66 : 646,599.67 = 146,699.36 : x
  2. Step 2: Convert to fraction form
    431,030.66/646,599.67 = 146,699.36/x
  3. Step 3: Cross multiply
    431,030.66x = 646,599.67 × 146,699.36
  4. Step 4: Simplify right side
    431,030.66x = 94,855,759,014.96
  5. Step 5: Solve for x
    x = 94,855,759,014.96/431,030.66
  6. Step 6: Final answer
    x = 220,067.31

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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.