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Finding the Fourth Proportional to 308,970.69, 463,530.02 and 128,956.02

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Solution

The fourth proportional to 308,970.69, 463,530.02 and 128,956.02 is: 193,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,970.69 : 463,530.02 = 128,956.02 : x
  2. Step 2: Convert to fraction form
    308,970.69/463,530.02 = 128,956.02/x
  3. Step 3: Cross multiply
    308,970.69x = 463,530.02 × 128,956.02
  4. Step 4: Simplify right side
    308,970.69x = 59,774,985,884.94
  5. Step 5: Solve for x
    x = 59,774,985,884.94/308,970.69
  6. Step 6: Final answer
    x = 193,464.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.