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Finding the Fourth Proportional to 497,812.30, 686,940.15 and 282,903.10

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Solution

The fourth proportional to 497,812.30, 686,940.15 and 282,903.10 is: 390,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,812.30 : 686,940.15 = 282,903.10 : x
  2. Step 2: Convert to fraction form
    497,812.30/686,940.15 = 282,903.10/x
  3. Step 3: Cross multiply
    497,812.30x = 686,940.15 × 282,903.10
  4. Step 4: Simplify right side
    497,812.30x = 194,337,497,949.47
  5. Step 5: Solve for x
    x = 194,337,497,949.47/497,812.30
  6. Step 6: Final answer
    x = 390,383.08

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1.5x scale

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.