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Finding the Fourth Proportional to 398,468.49, 549,886.73 and 226,386.76

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Solution

The fourth proportional to 398,468.49, 549,886.73 and 226,386.76 is: 312,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468.49 : 549,886.73 = 226,386.76 : x
  2. Step 2: Convert to fraction form
    398,468.49/549,886.73 = 226,386.76/x
  3. Step 3: Cross multiply
    398,468.49x = 549,886.73 × 226,386.76
  4. Step 4: Simplify right side
    398,468.49x = 124,487,072,665.04
  5. Step 5: Solve for x
    x = 124,487,072,665.04/398,468.49
  6. Step 6: Final answer
    x = 312,413.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.