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Finding the Fourth Proportional to 341,056.20, 511,428.80 and 163,646.76

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Solution

The fourth proportional to 341,056.20, 511,428.80 and 163,646.76 is: 245,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,056.20 : 511,428.80 = 163,646.76 : x
  2. Step 2: Convert to fraction form
    341,056.20/511,428.80 = 163,646.76/x
  3. Step 3: Cross multiply
    341,056.20x = 511,428.80 × 163,646.76
  4. Step 4: Simplify right side
    341,056.20x = 83,693,666,090.69
  5. Step 5: Solve for x
    x = 83,693,666,090.69/341,056.20
  6. Step 6: Final answer
    x = 245,395.53

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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.