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Finding the Fourth Proportional to 292,307.40, 438,428.70 and 81,966.60

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Solution

The fourth proportional to 292,307.40, 438,428.70 and 81,966.60 is: 122,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,307.40 : 438,428.70 = 81,966.60 : x
  2. Step 2: Convert to fraction form
    292,307.40/438,428.70 = 81,966.60/x
  3. Step 3: Cross multiply
    292,307.40x = 438,428.70 × 81,966.60
  4. Step 4: Simplify right side
    292,307.40x = 35,936,509,881.42
  5. Step 5: Solve for x
    x = 35,936,509,881.42/292,307.40
  6. Step 6: Final answer
    x = 122,940.81

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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.