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Finding the Fourth Proportional to 519,874.80, 780,395.40 and 402,068.40

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Solution

The fourth proportional to 519,874.80, 780,395.40 and 402,068.40 is: 603,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,874.80 : 780,395.40 = 402,068.40 : x
  2. Step 2: Convert to fraction form
    519,874.80/780,395.40 = 402,068.40/x
  3. Step 3: Cross multiply
    519,874.80x = 780,395.40 × 402,068.40
  4. Step 4: Simplify right side
    519,874.80x = 313,772,329,845.36
  5. Step 5: Solve for x
    x = 313,772,329,845.36/519,874.80
  6. Step 6: Final answer
    x = 603,553.64

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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.