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Finding the Fourth Proportional to 421,005.32, 631,810.50 and 168,140.86

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Solution

The fourth proportional to 421,005.32, 631,810.50 and 168,140.86 is: 252,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,005.32 : 631,810.50 = 168,140.86 : x
  2. Step 2: Convert to fraction form
    421,005.32/631,810.50 = 168,140.86/x
  3. Step 3: Cross multiply
    421,005.32x = 631,810.50 × 168,140.86
  4. Step 4: Simplify right side
    421,005.32x = 106,233,160,827.03
  5. Step 5: Solve for x
    x = 106,233,160,827.03/421,005.32
  6. Step 6: Final answer
    x = 252,332.11

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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.