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Finding the Fourth Proportional to 314,751.42, 434,343.36 and 178,784.94

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Solution

The fourth proportional to 314,751.42, 434,343.36 and 178,784.94 is: 246,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,751.42 : 434,343.36 = 178,784.94 : x
  2. Step 2: Convert to fraction form
    314,751.42/434,343.36 = 178,784.94/x
  3. Step 3: Cross multiply
    314,751.42x = 434,343.36 × 178,784.94
  4. Step 4: Simplify right side
    314,751.42x = 77,654,051,557.00
  5. Step 5: Solve for x
    x = 77,654,051,557.00/314,751.42
  6. Step 6: Final answer
    x = 246,715.49

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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.