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Finding the Fourth Proportional to 279,936,275.40, 419,904,413.10 and 256,127,718.60

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Solution

The fourth proportional to 279,936,275.40, 419,904,413.10 and 256,127,718.60 is: 384,191,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,275.40 : 419,904,413.10 = 256,127,718.60 : x
  2. Step 2: Convert to fraction form
    279,936,275.40/419,904,413.10 = 256,127,718.60/x
  3. Step 3: Cross multiply
    279,936,275.40x = 419,904,413.10 × 256,127,718.60
  4. Step 4: Simplify right side
    279,936,275.40x = 107,549,159,357,374,960
  5. Step 5: Solve for x
    x = 107,549,159,357,374,960/279,936,275.40
  6. Step 6: Final answer
    x = 384,191,577.90

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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.