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Finding the Fourth Proportional to 431,461.90, 646,646.10 and 164,866.60

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Solution

The fourth proportional to 431,461.90, 646,646.10 and 164,866.60 is: 247,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,461.90 : 646,646.10 = 164,866.60 : x
  2. Step 2: Convert to fraction form
    431,461.90/646,646.10 = 164,866.60/x
  3. Step 3: Cross multiply
    431,461.90x = 646,646.10 × 164,866.60
  4. Step 4: Simplify right side
    431,461.90x = 106,610,343,910.26
  5. Step 5: Solve for x
    x = 106,610,343,910.26/431,461.90
  6. Step 6: Final answer
    x = 247,090.98

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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.