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Finding the Fourth Proportional to 438,428.40, 657,642.60 and 142,940.40

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Solution

The fourth proportional to 438,428.40, 657,642.60 and 142,940.40 is: 214,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.40 : 657,642.60 = 142,940.40 : x
  2. Step 2: Convert to fraction form
    438,428.40/657,642.60 = 142,940.40/x
  3. Step 3: Cross multiply
    438,428.40x = 657,642.60 × 142,940.40
  4. Step 4: Simplify right side
    438,428.40x = 94,003,696,301.04
  5. Step 5: Solve for x
    x = 94,003,696,301.04/438,428.40
  6. Step 6: Final answer
    x = 214,410.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.