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Finding the Fourth Proportional to 402,242.40, 554,639.60 and 256,857.01

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Solution

The fourth proportional to 402,242.40, 554,639.60 and 256,857.01 is: 354,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,242.40 : 554,639.60 = 256,857.01 : x
  2. Step 2: Convert to fraction form
    402,242.40/554,639.60 = 256,857.01/x
  3. Step 3: Cross multiply
    402,242.40x = 554,639.60 × 256,857.01
  4. Step 4: Simplify right side
    402,242.40x = 142,463,068,539.14
  5. Step 5: Solve for x
    x = 142,463,068,539.14/402,242.40
  6. Step 6: Final answer
    x = 354,172.18

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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.