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Finding the Fourth Proportional to 506,071.86, 697,926.84 and 419,894.40

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Solution

The fourth proportional to 506,071.86, 697,926.84 and 419,894.40 is: 579,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,071.86 : 697,926.84 = 419,894.40 : x
  2. Step 2: Convert to fraction form
    506,071.86/697,926.84 = 419,894.40/x
  3. Step 3: Cross multiply
    506,071.86x = 697,926.84 × 419,894.40
  4. Step 4: Simplify right side
    506,071.86x = 293,055,571,725.70
  5. Step 5: Solve for x
    x = 293,055,571,725.70/506,071.86
  6. Step 6: Final answer
    x = 579,078.97

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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.