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Finding the Fourth Proportional to 304,985.34, 420,909.08 and 169,048.71

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Solution

The fourth proportional to 304,985.34, 420,909.08 and 169,048.71 is: 233,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,985.34 : 420,909.08 = 169,048.71 : x
  2. Step 2: Convert to fraction form
    304,985.34/420,909.08 = 169,048.71/x
  3. Step 3: Cross multiply
    304,985.34x = 420,909.08 × 169,048.71
  4. Step 4: Simplify right side
    304,985.34x = 71,154,137,001.29
  5. Step 5: Solve for x
    x = 71,154,137,001.29/304,985.34
  6. Step 6: Final answer
    x = 233,303.47

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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.