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Finding the Fourth Proportional to 712,834.24, 983,838 and 426,385.84

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Solution

The fourth proportional to 712,834.24, 983,838 and 426,385.84 is: 588,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,834.24 : 983,838 = 426,385.84 : x
  2. Step 2: Convert to fraction form
    712,834.24/983,838 = 426,385.84/x
  3. Step 3: Cross multiply
    712,834.24x = 983,838 × 426,385.84
  4. Step 4: Simplify right side
    712,834.24x = 419,494,592,053.92
  5. Step 5: Solve for x
    x = 419,494,592,053.92/712,834.24
  6. Step 6: Final answer
    x = 588,488.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.