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Finding the Fourth Proportional to 328,402.95, 492,598.14 and 115,111.68

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Solution

The fourth proportional to 328,402.95, 492,598.14 and 115,111.68 is: 172,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,402.95 : 492,598.14 = 115,111.68 : x
  2. Step 2: Convert to fraction form
    328,402.95/492,598.14 = 115,111.68/x
  3. Step 3: Cross multiply
    328,402.95x = 492,598.14 × 115,111.68
  4. Step 4: Simplify right side
    328,402.95x = 56,703,799,460.28
  5. Step 5: Solve for x
    x = 56,703,799,460.28/328,402.95
  6. Step 6: Final answer
    x = 172,665.32

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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.