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Finding the Fourth Proportional to 551,412.40, 760,949.28 and 309,695.32

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Solution

The fourth proportional to 551,412.40, 760,949.28 and 309,695.32 is: 427,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,412.40 : 760,949.28 = 309,695.32 : x
  2. Step 2: Convert to fraction form
    551,412.40/760,949.28 = 309,695.32/x
  3. Step 3: Cross multiply
    551,412.40x = 760,949.28 × 309,695.32
  4. Step 4: Simplify right side
    551,412.40x = 235,662,430,773.37
  5. Step 5: Solve for x
    x = 235,662,430,773.37/551,412.40
  6. Step 6: Final answer
    x = 427,379.64

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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.