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Finding the Fourth Proportional to 578,455, 798,224.16 and 320,330.68

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Solution

The fourth proportional to 578,455, 798,224.16 and 320,330.68 is: 442,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,455 : 798,224.16 = 320,330.68 : x
  2. Step 2: Convert to fraction form
    578,455/798,224.16 = 320,330.68/x
  3. Step 3: Cross multiply
    578,455x = 798,224.16 × 320,330.68
  4. Step 4: Simplify right side
    578,455x = 255,695,687,965.23
  5. Step 5: Solve for x
    x = 255,695,687,965.23/578,455
  6. Step 6: Final answer
    x = 442,032.12

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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.