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Finding the Fourth Proportional to 430,578, 646,022.52 and 135,090

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Solution

The fourth proportional to 430,578, 646,022.52 and 135,090 is: 202,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,578 : 646,022.52 = 135,090 : x
  2. Step 2: Convert to fraction form
    430,578/646,022.52 = 135,090/x
  3. Step 3: Cross multiply
    430,578x = 646,022.52 × 135,090
  4. Step 4: Simplify right side
    430,578x = 87,271,182,226.80
  5. Step 5: Solve for x
    x = 87,271,182,226.80/430,578
  6. Step 6: Final answer
    x = 202,683.79

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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.