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Finding the Fourth Proportional to 421,407.99, 631,980.23 and 140,859.63

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Solution

The fourth proportional to 421,407.99, 631,980.23 and 140,859.63 is: 211,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,407.99 : 631,980.23 = 140,859.63 : x
  2. Step 2: Convert to fraction form
    421,407.99/631,980.23 = 140,859.63/x
  3. Step 3: Cross multiply
    421,407.99x = 631,980.23 × 140,859.63
  4. Step 4: Simplify right side
    421,407.99x = 89,020,500,660.82
  5. Step 5: Solve for x
    x = 89,020,500,660.82/421,407.99
  6. Step 6: Final answer
    x = 211,245.40

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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.