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Finding the Fourth Proportional to 497,812.80, 686,940.84 and 282,903.60

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Solution

The fourth proportional to 497,812.80, 686,940.84 and 282,903.60 is: 390,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,812.80 : 686,940.84 = 282,903.60 : x
  2. Step 2: Convert to fraction form
    497,812.80/686,940.84 = 282,903.60/x
  3. Step 3: Cross multiply
    497,812.80x = 686,940.84 × 282,903.60
  4. Step 4: Simplify right side
    497,812.80x = 194,338,036,623.02
  5. Step 5: Solve for x
    x = 194,338,036,623.02/497,812.80
  6. Step 6: Final answer
    x = 390,383.77

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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.