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Finding the Fourth Proportional to 338,830.58, 508,401.05 and 146,763.74

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Solution

The fourth proportional to 338,830.58, 508,401.05 and 146,763.74 is: 220,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,830.58 : 508,401.05 = 146,763.74 : x
  2. Step 2: Convert to fraction form
    338,830.58/508,401.05 = 146,763.74/x
  3. Step 3: Cross multiply
    338,830.58x = 508,401.05 × 146,763.74
  4. Step 4: Simplify right side
    338,830.58x = 74,614,836,242.10
  5. Step 5: Solve for x
    x = 74,614,836,242.10/338,830.58
  6. Step 6: Final answer
    x = 220,212.82

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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.