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Finding the Fourth Proportional to 712,493.79, 983,219.41 and 390,195.60

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Solution

The fourth proportional to 712,493.79, 983,219.41 and 390,195.60 is: 538,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,493.79 : 983,219.41 = 390,195.60 : x
  2. Step 2: Convert to fraction form
    712,493.79/983,219.41 = 390,195.60/x
  3. Step 3: Cross multiply
    712,493.79x = 983,219.41 × 390,195.60
  4. Step 4: Simplify right side
    712,493.79x = 383,647,887,616.60
  5. Step 5: Solve for x
    x = 383,647,887,616.60/712,493.79
  6. Step 6: Final answer
    x = 538,457.87

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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.