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Finding the Fourth Proportional to 287,323.54, 430,860.03 and 97,732.42

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Solution

The fourth proportional to 287,323.54, 430,860.03 and 97,732.42 is: 146,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,323.54 : 430,860.03 = 97,732.42 : x
  2. Step 2: Convert to fraction form
    287,323.54/430,860.03 = 97,732.42/x
  3. Step 3: Cross multiply
    287,323.54x = 430,860.03 × 97,732.42
  4. Step 4: Simplify right side
    287,323.54x = 42,108,993,413.17
  5. Step 5: Solve for x
    x = 42,108,993,413.17/287,323.54
  6. Step 6: Final answer
    x = 146,556.02

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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.