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Finding the Fourth Proportional to 531,002.52, 796,102.74 and 320,590.20

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Solution

The fourth proportional to 531,002.52, 796,102.74 and 320,590.20 is: 480,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,002.52 : 796,102.74 = 320,590.20 : x
  2. Step 2: Convert to fraction form
    531,002.52/796,102.74 = 320,590.20/x
  3. Step 3: Cross multiply
    531,002.52x = 796,102.74 × 320,590.20
  4. Step 4: Simplify right side
    531,002.52x = 255,222,736,637.15
  5. Step 5: Solve for x
    x = 255,222,736,637.15/531,002.52
  6. Step 6: Final answer
    x = 480,643.17

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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.