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Finding the Fourth Proportional to 509,967.15, 765,045.35 and 168,434.24

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Solution

The fourth proportional to 509,967.15, 765,045.35 and 168,434.24 is: 252,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,967.15 : 765,045.35 = 168,434.24 : x
  2. Step 2: Convert to fraction form
    509,967.15/765,045.35 = 168,434.24/x
  3. Step 3: Cross multiply
    509,967.15x = 765,045.35 × 168,434.24
  4. Step 4: Simplify right side
    509,967.15x = 128,859,827,425.39
  5. Step 5: Solve for x
    x = 128,859,827,425.39/509,967.15
  6. Step 6: Final answer
    x = 252,682.60

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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.