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Finding the Fourth Proportional to 506,098.42, 697,963.41 and 419,920.90

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Solution

The fourth proportional to 506,098.42, 697,963.41 and 419,920.90 is: 579,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,098.42 : 697,963.41 = 419,920.90 : x
  2. Step 2: Convert to fraction form
    506,098.42/697,963.41 = 419,920.90/x
  3. Step 3: Cross multiply
    506,098.42x = 697,963.41 × 419,920.90
  4. Step 4: Simplify right side
    506,098.42x = 293,089,423,294.27
  5. Step 5: Solve for x
    x = 293,089,423,294.27/506,098.42
  6. Step 6: Final answer
    x = 579,115.47

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1.5x scale

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.