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Finding the Fourth Proportional to 458,784, 633,121.92 and 257,580

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Solution

The fourth proportional to 458,784, 633,121.92 and 257,580 is: 355,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784 : 633,121.92 = 257,580 : x
  2. Step 2: Convert to fraction form
    458,784/633,121.92 = 257,580/x
  3. Step 3: Cross multiply
    458,784x = 633,121.92 × 257,580
  4. Step 4: Simplify right side
    458,784x = 163,079,544,153.60
  5. Step 5: Solve for x
    x = 163,079,544,153.60/458,784
  6. Step 6: Final answer
    x = 355,460.40

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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.