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Finding the Fourth Proportional to 405,103.16, 607,784.56 and 283,650.20

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Solution

The fourth proportional to 405,103.16, 607,784.56 and 283,650.20 is: 425,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,103.16 : 607,784.56 = 283,650.20 : x
  2. Step 2: Convert to fraction form
    405,103.16/607,784.56 = 283,650.20/x
  3. Step 3: Cross multiply
    405,103.16x = 607,784.56 × 283,650.20
  4. Step 4: Simplify right side
    405,103.16x = 172,398,212,000.91
  5. Step 5: Solve for x
    x = 172,398,212,000.91/405,103.16
  6. Step 6: Final answer
    x = 425,566.20

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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.