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Finding the Fourth Proportional to 653,732.40, 902,528.82 and 427,771.56

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Solution

The fourth proportional to 653,732.40, 902,528.82 and 427,771.56 is: 590,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,732.40 : 902,528.82 = 427,771.56 : x
  2. Step 2: Convert to fraction form
    653,732.40/902,528.82 = 427,771.56/x
  3. Step 3: Cross multiply
    653,732.40x = 902,528.82 × 427,771.56
  4. Step 4: Simplify right side
    653,732.40x = 386,076,161,276.36
  5. Step 5: Solve for x
    x = 386,076,161,276.36/653,732.40
  6. Step 6: Final answer
    x = 590,572.17

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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.