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Finding the Fourth Proportional to 438,599, 605,271.72 and 257,314.04

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Solution

The fourth proportional to 438,599, 605,271.72 and 257,314.04 is: 355,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,599 : 605,271.72 = 257,314.04 : x
  2. Step 2: Convert to fraction form
    438,599/605,271.72 = 257,314.04/x
  3. Step 3: Cross multiply
    438,599x = 605,271.72 × 257,314.04
  4. Step 4: Simplify right side
    438,599x = 155,744,911,570.95
  5. Step 5: Solve for x
    x = 155,744,911,570.95/438,599
  6. Step 6: Final answer
    x = 355,096.37

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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.