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Finding the Fourth Proportional to 763,020, 1,144,734.12 and 264,384

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Solution

The fourth proportional to 763,020, 1,144,734.12 and 264,384 is: 396,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,020 : 1,144,734.12 = 264,384 : x
  2. Step 2: Convert to fraction form
    763,020/1,144,734.12 = 264,384/x
  3. Step 3: Cross multiply
    763,020x = 1,144,734.12 × 264,384
  4. Step 4: Simplify right side
    763,020x = 302,649,385,582.08
  5. Step 5: Solve for x
    x = 302,649,385,582.08/763,020
  6. Step 6: Final answer
    x = 396,646.73

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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.