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Finding the Fourth Proportional to 458,490.92, 632,719.69 and 286,508.75

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Solution

The fourth proportional to 458,490.92, 632,719.69 and 286,508.75 is: 395,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,490.92 : 632,719.69 = 286,508.75 : x
  2. Step 2: Convert to fraction form
    458,490.92/632,719.69 = 286,508.75/x
  3. Step 3: Cross multiply
    458,490.92x = 632,719.69 × 286,508.75
  4. Step 4: Simplify right side
    458,490.92x = 181,279,723,602.42
  5. Step 5: Solve for x
    x = 181,279,723,602.42/458,490.92
  6. Step 6: Final answer
    x = 395,383.46

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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.