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Finding the Fourth Proportional to 610,206.66, 915,462.39 and 430,642.56

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Solution

The fourth proportional to 610,206.66, 915,462.39 and 430,642.56 is: 646,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,206.66 : 915,462.39 = 430,642.56 : x
  2. Step 2: Convert to fraction form
    610,206.66/915,462.39 = 430,642.56/x
  3. Step 3: Cross multiply
    610,206.66x = 915,462.39 × 430,642.56
  4. Step 4: Simplify right side
    610,206.66x = 394,237,067,213.32
  5. Step 5: Solve for x
    x = 394,237,067,213.32/610,206.66
  6. Step 6: Final answer
    x = 646,071.39

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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.