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Finding the Fourth Proportional to 304,503.20, 420,209.31 and 168,534.24

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Solution

The fourth proportional to 304,503.20, 420,209.31 and 168,534.24 is: 232,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,503.20 : 420,209.31 = 168,534.24 : x
  2. Step 2: Convert to fraction form
    304,503.20/420,209.31 = 168,534.24/x
  3. Step 3: Cross multiply
    304,503.20x = 420,209.31 × 168,534.24
  4. Step 4: Simplify right side
    304,503.20x = 70,819,656,701.77
  5. Step 5: Solve for x
    x = 70,819,656,701.77/304,503.20
  6. Step 6: Final answer
    x = 232,574.43

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1.5x scale

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.