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Finding the Fourth Proportional to 328,656.14, 493,038.68 and 115,368.73

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Solution

The fourth proportional to 328,656.14, 493,038.68 and 115,368.73 is: 173,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,656.14 : 493,038.68 = 115,368.73 : x
  2. Step 2: Convert to fraction form
    328,656.14/493,038.68 = 115,368.73/x
  3. Step 3: Cross multiply
    328,656.14x = 493,038.68 × 115,368.73
  4. Step 4: Simplify right side
    328,656.14x = 56,881,246,352.48
  5. Step 5: Solve for x
    x = 56,881,246,352.48/328,656.14
  6. Step 6: Final answer
    x = 173,072.22

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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.