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Finding the Fourth Proportional to 643,875.80, 965,813.70 and 407,485.40

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Solution

The fourth proportional to 643,875.80, 965,813.70 and 407,485.40 is: 611,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,875.80 : 965,813.70 = 407,485.40 : x
  2. Step 2: Convert to fraction form
    643,875.80/965,813.70 = 407,485.40/x
  3. Step 3: Cross multiply
    643,875.80x = 965,813.70 × 407,485.40
  4. Step 4: Simplify right side
    643,875.80x = 393,554,981,869.98
  5. Step 5: Solve for x
    x = 393,554,981,869.98/643,875.80
  6. Step 6: Final answer
    x = 611,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.