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Finding the Fourth Proportional to 458,525.50, 632,823.51 and 257,321.50

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Solution

The fourth proportional to 458,525.50, 632,823.51 and 257,321.50 is: 355,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,525.50 : 632,823.51 = 257,321.50 : x
  2. Step 2: Convert to fraction form
    458,525.50/632,823.51 = 257,321.50/x
  3. Step 3: Cross multiply
    458,525.50x = 632,823.51 × 257,321.50
  4. Step 4: Simplify right side
    458,525.50x = 162,839,094,828.47
  5. Step 5: Solve for x
    x = 162,839,094,828.47/458,525.50
  6. Step 6: Final answer
    x = 355,136.40

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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.