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Finding the Fourth Proportional to 258,970.59, 357,413.48 and 145,815.39

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Solution

The fourth proportional to 258,970.59, 357,413.48 and 145,815.39 is: 201,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,970.59 : 357,413.48 = 145,815.39 : x
  2. Step 2: Convert to fraction form
    258,970.59/357,413.48 = 145,815.39/x
  3. Step 3: Cross multiply
    258,970.59x = 357,413.48 × 145,815.39
  4. Step 4: Simplify right side
    258,970.59x = 52,116,385,248.38
  5. Step 5: Solve for x
    x = 52,116,385,248.38/258,970.59
  6. Step 6: Final answer
    x = 201,244.42

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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.