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Finding the Fourth Proportional to 650,142, 897,235.74 and 363,681.36

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Solution

The fourth proportional to 650,142, 897,235.74 and 363,681.36 is: 501,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,142 : 897,235.74 = 363,681.36 : x
  2. Step 2: Convert to fraction form
    650,142/897,235.74 = 363,681.36/x
  3. Step 3: Cross multiply
    650,142x = 897,235.74 × 363,681.36
  4. Step 4: Simplify right side
    650,142x = 326,307,914,163.81
  5. Step 5: Solve for x
    x = 326,307,914,163.81/650,142
  6. Step 6: Final answer
    x = 501,902.53

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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.