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Finding the Fourth Proportional to 542,295.84, 812,905.38 and 257,485.80

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Solution

The fourth proportional to 542,295.84, 812,905.38 and 257,485.80 is: 385,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,295.84 : 812,905.38 = 257,485.80 : x
  2. Step 2: Convert to fraction form
    542,295.84/812,905.38 = 257,485.80/x
  3. Step 3: Cross multiply
    542,295.84x = 812,905.38 × 257,485.80
  4. Step 4: Simplify right side
    542,295.84x = 209,311,592,093.60
  5. Step 5: Solve for x
    x = 209,311,592,093.60/542,295.84
  6. Step 6: Final answer
    x = 385,973.07

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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.