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Finding the Fourth Proportional to 511,241.73, 705,515.01 and 307,409.40

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Solution

The fourth proportional to 511,241.73, 705,515.01 and 307,409.40 is: 424,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,241.73 : 705,515.01 = 307,409.40 : x
  2. Step 2: Convert to fraction form
    511,241.73/705,515.01 = 307,409.40/x
  3. Step 3: Cross multiply
    511,241.73x = 705,515.01 × 307,409.40
  4. Step 4: Simplify right side
    511,241.73x = 216,881,945,915.09
  5. Step 5: Solve for x
    x = 216,881,945,915.09/511,241.73
  6. Step 6: Final answer
    x = 424,225.83

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1.5x scale

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.