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Finding the Fourth Proportional to 391,547.86, 540,336.02 and 221,781.98

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Solution

The fourth proportional to 391,547.86, 540,336.02 and 221,781.98 is: 306,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,547.86 : 540,336.02 = 221,781.98 : x
  2. Step 2: Convert to fraction form
    391,547.86/540,336.02 = 221,781.98/x
  3. Step 3: Cross multiply
    391,547.86x = 540,336.02 × 221,781.98
  4. Step 4: Simplify right side
    391,547.86x = 119,836,792,622.85
  5. Step 5: Solve for x
    x = 119,836,792,622.85/391,547.86
  6. Step 6: Final answer
    x = 306,059.12

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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.