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Finding the Fourth Proportional to 383,403.96, 574,830.90 and 146,547

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Solution

The fourth proportional to 383,403.96, 574,830.90 and 146,547 is: 219,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,403.96 : 574,830.90 = 146,547 : x
  2. Step 2: Convert to fraction form
    383,403.96/574,830.90 = 146,547/x
  3. Step 3: Cross multiply
    383,403.96x = 574,830.90 × 146,547
  4. Step 4: Simplify right side
    383,403.96x = 84,239,743,902.30
  5. Step 5: Solve for x
    x = 84,239,743,902.30/383,403.96
  6. Step 6: Final answer
    x = 219,715.37

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1.5x scale

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.