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Finding the Fourth Proportional to 458,792, 633,132.96 and 257,592.32

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Solution

The fourth proportional to 458,792, 633,132.96 and 257,592.32 is: 355,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,792 : 633,132.96 = 257,592.32 : x
  2. Step 2: Convert to fraction form
    458,792/633,132.96 = 257,592.32/x
  3. Step 3: Cross multiply
    458,792x = 633,132.96 × 257,592.32
  4. Step 4: Simplify right side
    458,792x = 163,090,188,034.87
  5. Step 5: Solve for x
    x = 163,090,188,034.87/458,792
  6. Step 6: Final answer
    x = 355,477.40

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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.