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Finding the Fourth Proportional to 384,965.70, 578,432.70 and 341,663.10

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Solution

The fourth proportional to 384,965.70, 578,432.70 and 341,663.10 is: 513,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,965.70 : 578,432.70 = 341,663.10 : x
  2. Step 2: Convert to fraction form
    384,965.70/578,432.70 = 341,663.10/x
  3. Step 3: Cross multiply
    384,965.70x = 578,432.70 × 341,663.10
  4. Step 4: Simplify right side
    384,965.70x = 197,629,109,423.37
  5. Step 5: Solve for x
    x = 197,629,109,423.37/384,965.70
  6. Step 6: Final answer
    x = 513,368.10

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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.