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Finding the Fourth Proportional to 383,521.89, 575,365.88 and 146,864.58

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Solution

The fourth proportional to 383,521.89, 575,365.88 and 146,864.58 is: 220,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,521.89 : 575,365.88 = 146,864.58 : x
  2. Step 2: Convert to fraction form
    383,521.89/575,365.88 = 146,864.58/x
  3. Step 3: Cross multiply
    383,521.89x = 575,365.88 × 146,864.58
  4. Step 4: Simplify right side
    383,521.89x = 84,500,868,312.53
  5. Step 5: Solve for x
    x = 84,500,868,312.53/383,521.89
  6. Step 6: Final answer
    x = 220,328.67

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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.