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Finding the Fourth Proportional to 489,421.40, 733,913.40 and 189,802.40

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Solution

The fourth proportional to 489,421.40, 733,913.40 and 189,802.40 is: 284,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,421.40 : 733,913.40 = 189,802.40 : x
  2. Step 2: Convert to fraction form
    489,421.40/733,913.40 = 189,802.40/x
  3. Step 3: Cross multiply
    489,421.40x = 733,913.40 × 189,802.40
  4. Step 4: Simplify right side
    489,421.40x = 139,298,524,712.16
  5. Step 5: Solve for x
    x = 139,298,524,712.16/489,421.40
  6. Step 6: Final answer
    x = 284,618.79

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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.