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Finding the Fourth Proportional to 430,681.59, 645,973.09 and 115,163.10

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Solution

The fourth proportional to 430,681.59, 645,973.09 and 115,163.10 is: 172,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,681.59 : 645,973.09 = 115,163.10 : x
  2. Step 2: Convert to fraction form
    430,681.59/645,973.09 = 115,163.10/x
  3. Step 3: Cross multiply
    430,681.59x = 645,973.09 × 115,163.10
  4. Step 4: Simplify right side
    430,681.59x = 74,392,266,127.33
  5. Step 5: Solve for x
    x = 74,392,266,127.33/430,681.59
  6. Step 6: Final answer
    x = 172,731.47

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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.