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Finding the Fourth Proportional to 384,809.16, 574,395.74 and 339,358.70

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Solution

The fourth proportional to 384,809.16, 574,395.74 and 339,358.70 is: 506,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,809.16 : 574,395.74 = 339,358.70 : x
  2. Step 2: Convert to fraction form
    384,809.16/574,395.74 = 339,358.70/x
  3. Step 3: Cross multiply
    384,809.16x = 574,395.74 × 339,358.70
  4. Step 4: Simplify right side
    384,809.16x = 194,926,191,611.94
  5. Step 5: Solve for x
    x = 194,926,191,611.94/384,809.16
  6. Step 6: Final answer
    x = 506,552.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.