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Finding the Fourth Proportional to 421,499.15, 631,953.02 and 155,225.52

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Solution

The fourth proportional to 421,499.15, 631,953.02 and 155,225.52 is: 232,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,499.15 : 631,953.02 = 155,225.52 : x
  2. Step 2: Convert to fraction form
    421,499.15/631,953.02 = 155,225.52/x
  3. Step 3: Cross multiply
    421,499.15x = 631,953.02 × 155,225.52
  4. Step 4: Simplify right side
    421,499.15x = 98,095,236,533.13
  5. Step 5: Solve for x
    x = 98,095,236,533.13/421,499.15
  6. Step 6: Final answer
    x = 232,729.38

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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.