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Finding the Fourth Proportional to 304,737.40, 420,329.48 and 209,078.02

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Solution

The fourth proportional to 304,737.40, 420,329.48 and 209,078.02 is: 288,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,737.40 : 420,329.48 = 209,078.02 : x
  2. Step 2: Convert to fraction form
    304,737.40/420,329.48 = 209,078.02/x
  3. Step 3: Cross multiply
    304,737.40x = 420,329.48 × 209,078.02
  4. Step 4: Simplify right side
    304,737.40x = 87,881,655,426.03
  5. Step 5: Solve for x
    x = 87,881,655,426.03/304,737.40
  6. Step 6: Final answer
    x = 288,384.87

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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.