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Finding the Fourth Proportional to 542,688.71, 813,866.46 and 375,284.80

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Solution

The fourth proportional to 542,688.71, 813,866.46 and 375,284.80 is: 562,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,688.71 : 813,866.46 = 375,284.80 : x
  2. Step 2: Convert to fraction form
    542,688.71/813,866.46 = 375,284.80/x
  3. Step 3: Cross multiply
    542,688.71x = 813,866.46 × 375,284.80
  4. Step 4: Simplify right side
    542,688.71x = 305,431,706,660.26
  5. Step 5: Solve for x
    x = 305,431,706,660.26/542,688.71
  6. Step 6: Final answer
    x = 562,811.98

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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.