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Finding the Fourth Proportional to 238,078.64, 328,553.92 and 130,655.48

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Solution

The fourth proportional to 238,078.64, 328,553.92 and 130,655.48 is: 180,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,078.64 : 328,553.92 = 130,655.48 : x
  2. Step 2: Convert to fraction form
    238,078.64/328,553.92 = 130,655.48/x
  3. Step 3: Cross multiply
    238,078.64x = 328,553.92 × 130,655.48
  4. Step 4: Simplify right side
    238,078.64x = 42,927,370,492.15
  5. Step 5: Solve for x
    x = 42,927,370,492.15/238,078.64
  6. Step 6: Final answer
    x = 180,307.52

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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.