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Finding the Fourth Proportional to 312,064, 430,654.80 and 184,693.12

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Solution

The fourth proportional to 312,064, 430,654.80 and 184,693.12 is: 254,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,064 : 430,654.80 = 184,693.12 : x
  2. Step 2: Convert to fraction form
    312,064/430,654.80 = 184,693.12/x
  3. Step 3: Cross multiply
    312,064x = 430,654.80 × 184,693.12
  4. Step 4: Simplify right side
    312,064x = 79,538,978,654.98
  5. Step 5: Solve for x
    x = 79,538,978,654.98/312,064
  6. Step 6: Final answer
    x = 254,880.34

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1.5x scale

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.