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Finding the Fourth Proportional to 423,098.35, 634,315.26 and 289,573.80

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Solution

The fourth proportional to 423,098.35, 634,315.26 and 289,573.80 is: 434,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,098.35 : 634,315.26 = 289,573.80 : x
  2. Step 2: Convert to fraction form
    423,098.35/634,315.26 = 289,573.80/x
  3. Step 3: Cross multiply
    423,098.35x = 634,315.26 × 289,573.80
  4. Step 4: Simplify right side
    423,098.35x = 183,681,080,236.19
  5. Step 5: Solve for x
    x = 183,681,080,236.19/423,098.35
  6. Step 6: Final answer
    x = 434,133.29

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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.