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Finding the Fourth Proportional to 401,852.40, 602,087.40 and 212,031.60

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Solution

The fourth proportional to 401,852.40, 602,087.40 and 212,031.60 is: 317,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,852.40 : 602,087.40 = 212,031.60 : x
  2. Step 2: Convert to fraction form
    401,852.40/602,087.40 = 212,031.60/x
  3. Step 3: Cross multiply
    401,852.40x = 602,087.40 × 212,031.60
  4. Step 4: Simplify right side
    401,852.40x = 127,661,554,761.84
  5. Step 5: Solve for x
    x = 127,661,554,761.84/401,852.40
  6. Step 6: Final answer
    x = 317,682.70

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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.