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Finding the Fourth Proportional to 320,598.84, 478,530.54 and 282,777.51

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Solution

The fourth proportional to 320,598.84, 478,530.54 and 282,777.51 is: 422,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,598.84 : 478,530.54 = 282,777.51 : x
  2. Step 2: Convert to fraction form
    320,598.84/478,530.54 = 282,777.51/x
  3. Step 3: Cross multiply
    320,598.84x = 478,530.54 × 282,777.51
  4. Step 4: Simplify right side
    320,598.84x = 135,317,674,560.16
  5. Step 5: Solve for x
    x = 135,317,674,560.16/320,598.84
  6. Step 6: Final answer
    x = 422,077.87

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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.