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Finding the Fourth Proportional to 310,848,175.20, 435,824,455.20 and 310,848,175.20

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Solution

The fourth proportional to 310,848,175.20, 435,824,455.20 and 310,848,175.20 is: 435,824,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,848,175.20 : 435,824,455.20 = 310,848,175.20 : x
  2. Step 2: Convert to fraction form
    310,848,175.20/435,824,455.20 = 310,848,175.20/x
  3. Step 3: Cross multiply
    310,848,175.20x = 435,824,455.20 × 310,848,175.20
  4. Step 4: Simplify right side
    310,848,175.20x = 135,475,236,606,454,144
  5. Step 5: Solve for x
    x = 135,475,236,606,454,144/310,848,175.20
  6. Step 6: Final answer
    x = 435,824,455.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.