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Finding the Fourth Proportional to 448,231.68, 618,319.44 and 286,913.16

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Solution

The fourth proportional to 448,231.68, 618,319.44 and 286,913.16 is: 395,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,231.68 : 618,319.44 = 286,913.16 : x
  2. Step 2: Convert to fraction form
    448,231.68/618,319.44 = 286,913.16/x
  3. Step 3: Cross multiply
    448,231.68x = 618,319.44 × 286,913.16
  4. Step 4: Simplify right side
    448,231.68x = 177,403,984,419.83
  5. Step 5: Solve for x
    x = 177,403,984,419.83/448,231.68
  6. Step 6: Final answer
    x = 395,786.36

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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.