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Finding the Fourth Proportional to 368,114.02, 507,984.23 and 206,978.30

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Solution

The fourth proportional to 368,114.02, 507,984.23 and 206,978.30 is: 285,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,114.02 : 507,984.23 = 206,978.30 : x
  2. Step 2: Convert to fraction form
    368,114.02/507,984.23 = 206,978.30/x
  3. Step 3: Cross multiply
    368,114.02x = 507,984.23 × 206,978.30
  4. Step 4: Simplify right side
    368,114.02x = 105,141,712,352.21
  5. Step 5: Solve for x
    x = 105,141,712,352.21/368,114.02
  6. Step 6: Final answer
    x = 285,622.68

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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.