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Finding the Fourth Proportional to 382,354.80, 572,365.80 and 340,364.40

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Solution

The fourth proportional to 382,354.80, 572,365.80 and 340,364.40 is: 509,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,354.80 : 572,365.80 = 340,364.40 : x
  2. Step 2: Convert to fraction form
    382,354.80/572,365.80 = 340,364.40/x
  3. Step 3: Cross multiply
    382,354.80x = 572,365.80 × 340,364.40
  4. Step 4: Simplify right side
    382,354.80x = 194,812,942,097.52
  5. Step 5: Solve for x
    x = 194,812,942,097.52/382,354.80
  6. Step 6: Final answer
    x = 509,508.29

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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.