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Finding the Fourth Proportional to 551,436.16, 760,928.16 and 309,663.76

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Solution

The fourth proportional to 551,436.16, 760,928.16 and 309,663.76 is: 427,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,436.16 : 760,928.16 = 309,663.76 : x
  2. Step 2: Convert to fraction form
    551,436.16/760,928.16 = 309,663.76/x
  3. Step 3: Cross multiply
    551,436.16x = 760,928.16 × 309,663.76
  4. Step 4: Simplify right side
    551,436.16x = 235,631,875,115.48
  5. Step 5: Solve for x
    x = 235,631,875,115.48/551,436.16
  6. Step 6: Final answer
    x = 427,305.81

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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.