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Finding the Fourth Proportional to 519,413.69, 780,302.83 and 375,762.59

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Solution

The fourth proportional to 519,413.69, 780,302.83 and 375,762.59 is: 564,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,413.69 : 780,302.83 = 375,762.59 : x
  2. Step 2: Convert to fraction form
    519,413.69/780,302.83 = 375,762.59/x
  3. Step 3: Cross multiply
    519,413.69x = 780,302.83 × 375,762.59
  4. Step 4: Simplify right side
    519,413.69x = 293,208,612,385.13
  5. Step 5: Solve for x
    x = 293,208,612,385.13/519,413.69
  6. Step 6: Final answer
    x = 564,499.20

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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.