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Finding the Fourth Proportional to 458,624.16, 632,903.76 and 257,420.16

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Solution

The fourth proportional to 458,624.16, 632,903.76 and 257,420.16 is: 355,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,624.16 : 632,903.76 = 257,420.16 : x
  2. Step 2: Convert to fraction form
    458,624.16/632,903.76 = 257,420.16/x
  3. Step 3: Cross multiply
    458,624.16x = 632,903.76 × 257,420.16
  4. Step 4: Simplify right side
    458,624.16x = 162,922,187,163.80
  5. Step 5: Solve for x
    x = 162,922,187,163.80/458,624.16
  6. Step 6: Final answer
    x = 355,241.18

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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.