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Finding the Fourth Proportional to 384,967.70, 578,435.70 and 341,665.10

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Solution

The fourth proportional to 384,967.70, 578,435.70 and 341,665.10 is: 513,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,967.70 : 578,435.70 = 341,665.10 : x
  2. Step 2: Convert to fraction form
    384,967.70/578,435.70 = 341,665.10/x
  3. Step 3: Cross multiply
    384,967.70x = 578,435.70 × 341,665.10
  4. Step 4: Simplify right side
    384,967.70x = 197,631,291,284.07
  5. Step 5: Solve for x
    x = 197,631,291,284.07/384,967.70
  6. Step 6: Final answer
    x = 513,371.10

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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.