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Finding the Fourth Proportional to 519,981.40, 779,972.10 and 519,981.40

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Solution

The fourth proportional to 519,981.40, 779,972.10 and 519,981.40 is: 779,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,981.40 : 779,972.10 = 519,981.40 : x
  2. Step 2: Convert to fraction form
    519,981.40/779,972.10 = 519,981.40/x
  3. Step 3: Cross multiply
    519,981.40x = 779,972.10 × 519,981.40
  4. Step 4: Simplify right side
    519,981.40x = 405,570,984,518.94
  5. Step 5: Solve for x
    x = 405,570,984,518.94/519,981.40
  6. Step 6: Final answer
    x = 779,972.10

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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.