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Finding the Fourth Proportional to 421,970.48, 633,005.28 and 148,333.04

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Solution

The fourth proportional to 421,970.48, 633,005.28 and 148,333.04 is: 222,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,970.48 : 633,005.28 = 148,333.04 : x
  2. Step 2: Convert to fraction form
    421,970.48/633,005.28 = 148,333.04/x
  3. Step 3: Cross multiply
    421,970.48x = 633,005.28 × 148,333.04
  4. Step 4: Simplify right side
    421,970.48x = 93,895,597,518.45
  5. Step 5: Solve for x
    x = 93,895,597,518.45/421,970.48
  6. Step 6: Final answer
    x = 222,516.98

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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.