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Finding the Fourth Proportional to 421,167.47, 632,001.29 and 155,114.60

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Solution

The fourth proportional to 421,167.47, 632,001.29 and 155,114.60 is: 232,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,167.47 : 632,001.29 = 155,114.60 : x
  2. Step 2: Convert to fraction form
    421,167.47/632,001.29 = 155,114.60/x
  3. Step 3: Cross multiply
    421,167.47x = 632,001.29 × 155,114.60
  4. Step 4: Simplify right side
    421,167.47x = 98,032,623,362.25
  5. Step 5: Solve for x
    x = 98,032,623,362.25/421,167.47
  6. Step 6: Final answer
    x = 232,764.00

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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.