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Finding the Fourth Proportional to 315,089.51, 434,902.11 and 187,740.50

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Solution

The fourth proportional to 315,089.51, 434,902.11 and 187,740.50 is: 259,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,089.51 : 434,902.11 = 187,740.50 : x
  2. Step 2: Convert to fraction form
    315,089.51/434,902.11 = 187,740.50/x
  3. Step 3: Cross multiply
    315,089.51x = 434,902.11 × 187,740.50
  4. Step 4: Simplify right side
    315,089.51x = 81,648,739,582.46
  5. Step 5: Solve for x
    x = 81,648,739,582.46/315,089.51
  6. Step 6: Final answer
    x = 259,128.71

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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.