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Finding the Fourth Proportional to 425,802.38, 638,357.16 and 159,413.66

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Solution

The fourth proportional to 425,802.38, 638,357.16 and 159,413.66 is: 238,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,802.38 : 638,357.16 = 159,413.66 : x
  2. Step 2: Convert to fraction form
    425,802.38/638,357.16 = 159,413.66/x
  3. Step 3: Cross multiply
    425,802.38x = 638,357.16 × 159,413.66
  4. Step 4: Simplify right side
    425,802.38x = 101,762,851,262.81
  5. Step 5: Solve for x
    x = 101,762,851,262.81/425,802.38
  6. Step 6: Final answer
    x = 238,990.80

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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.