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Finding the Fourth Proportional to 403,643, 557,027.52 and 233,975.54

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Solution

The fourth proportional to 403,643, 557,027.52 and 233,975.54 is: 322,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,643 : 557,027.52 = 233,975.54 : x
  2. Step 2: Convert to fraction form
    403,643/557,027.52 = 233,975.54/x
  3. Step 3: Cross multiply
    403,643x = 557,027.52 × 233,975.54
  4. Step 4: Simplify right side
    403,643x = 130,330,814,786.86
  5. Step 5: Solve for x
    x = 130,330,814,786.86/403,643
  6. Step 6: Final answer
    x = 322,886.35

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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.