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Finding the Fourth Proportional to 458,281, 632,432.10 and 257,081.32

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Solution

The fourth proportional to 458,281, 632,432.10 and 257,081.32 is: 354,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,281 : 632,432.10 = 257,081.32 : x
  2. Step 2: Convert to fraction form
    458,281/632,432.10 = 257,081.32/x
  3. Step 3: Cross multiply
    458,281x = 632,432.10 × 257,081.32
  4. Step 4: Simplify right side
    458,281x = 162,586,479,078.37
  5. Step 5: Solve for x
    x = 162,586,479,078.37/458,281
  6. Step 6: Final answer
    x = 354,774.64

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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.