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Finding the Fourth Proportional to 460,147.32, 634,905.69 and 290,283

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Solution

The fourth proportional to 460,147.32, 634,905.69 and 290,283 is: 400,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,147.32 : 634,905.69 = 290,283 : x
  2. Step 2: Convert to fraction form
    460,147.32/634,905.69 = 290,283/x
  3. Step 3: Cross multiply
    460,147.32x = 634,905.69 × 290,283
  4. Step 4: Simplify right side
    460,147.32x = 184,302,328,410.27
  5. Step 5: Solve for x
    x = 184,302,328,410.27/460,147.32
  6. Step 6: Final answer
    x = 400,528.96

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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.