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Finding the Fourth Proportional to 257,657,145.60, 359,954,728.80 and 257,657,145.60

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Solution

The fourth proportional to 257,657,145.60, 359,954,728.80 and 257,657,145.60 is: 359,954,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,657,145.60 : 359,954,728.80 = 257,657,145.60 : x
  2. Step 2: Convert to fraction form
    257,657,145.60/359,954,728.80 = 257,657,145.60/x
  3. Step 3: Cross multiply
    257,657,145.60x = 359,954,728.80 × 257,657,145.60
  4. Step 4: Simplify right side
    257,657,145.60x = 92,744,907,967,830,112
  5. Step 5: Solve for x
    x = 92,744,907,967,830,112/257,657,145.60
  6. Step 6: Final answer
    x = 359,954,728.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.