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Finding the Fourth Proportional to 238,328.93, 328,892.40 and 142,835.60

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Solution

The fourth proportional to 238,328.93, 328,892.40 and 142,835.60 is: 197,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,328.93 : 328,892.40 = 142,835.60 : x
  2. Step 2: Convert to fraction form
    238,328.93/328,892.40 = 142,835.60/x
  3. Step 3: Cross multiply
    238,328.93x = 328,892.40 × 142,835.60
  4. Step 4: Simplify right side
    238,328.93x = 46,977,544,111.67
  5. Step 5: Solve for x
    x = 46,977,544,111.67/238,328.93
  6. Step 6: Final answer
    x = 197,112.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.