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Finding the Fourth Proportional to 506,413.76, 760,155.89 and 494,978.14

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Solution

The fourth proportional to 506,413.76, 760,155.89 and 494,978.14 is: 742,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,413.76 : 760,155.89 = 494,978.14 : x
  2. Step 2: Convert to fraction form
    506,413.76/760,155.89 = 494,978.14/x
  3. Step 3: Cross multiply
    506,413.76x = 760,155.89 × 494,978.14
  4. Step 4: Simplify right side
    506,413.76x = 376,260,549,801.80
  5. Step 5: Solve for x
    x = 376,260,549,801.80/506,413.76
  6. Step 6: Final answer
    x = 742,990.38

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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.