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Finding the Fourth Proportional to 354,568.47, 489,303.80 and 193,423.47

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Solution

The fourth proportional to 354,568.47, 489,303.80 and 193,423.47 is: 266,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,568.47 : 489,303.80 = 193,423.47 : x
  2. Step 2: Convert to fraction form
    354,568.47/489,303.80 = 193,423.47/x
  3. Step 3: Cross multiply
    354,568.47x = 489,303.80 × 193,423.47
  4. Step 4: Simplify right side
    354,568.47x = 94,642,836,803.52
  5. Step 5: Solve for x
    x = 94,642,836,803.52/354,568.47
  6. Step 6: Final answer
    x = 266,924.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.