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Finding the Fourth Proportional to 285,354, 426,157.10 and 229,279.28

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Solution

The fourth proportional to 285,354, 426,157.10 and 229,279.28 is: 342,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354 : 426,157.10 = 229,279.28 : x
  2. Step 2: Convert to fraction form
    285,354/426,157.10 = 229,279.28/x
  3. Step 3: Cross multiply
    285,354x = 426,157.10 × 229,279.28
  4. Step 4: Simplify right side
    285,354x = 97,708,993,054.89
  5. Step 5: Solve for x
    x = 97,708,993,054.89/285,354
  6. Step 6: Final answer
    x = 342,413.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.