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Finding the Fourth Proportional to 611,148.40, 917,413.80 and 361,970.80

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Solution

The fourth proportional to 611,148.40, 917,413.80 and 361,970.80 is: 543,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,148.40 : 917,413.80 = 361,970.80 : x
  2. Step 2: Convert to fraction form
    611,148.40/917,413.80 = 361,970.80/x
  3. Step 3: Cross multiply
    611,148.40x = 917,413.80 × 361,970.80
  4. Step 4: Simplify right side
    611,148.40x = 332,077,007,117.04
  5. Step 5: Solve for x
    x = 332,077,007,117.04/611,148.40
  6. Step 6: Final answer
    x = 543,365.58

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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.