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Finding the Fourth Proportional to 354,407.14, 529,351.61 and 320,621.32

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Solution

The fourth proportional to 354,407.14, 529,351.61 and 320,621.32 is: 478,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,407.14 : 529,351.61 = 320,621.32 : x
  2. Step 2: Convert to fraction form
    354,407.14/529,351.61 = 320,621.32/x
  3. Step 3: Cross multiply
    354,407.14x = 529,351.61 × 320,621.32
  4. Step 4: Simplify right side
    354,407.14x = 169,721,411,942.33
  5. Step 5: Solve for x
    x = 169,721,411,942.33/354,407.14
  6. Step 6: Final answer
    x = 478,888.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.