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Finding the Fourth Proportional to 1,400,112, 2,100,168 and 402,840

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Solution

The fourth proportional to 1,400,112, 2,100,168 and 402,840 is: 604,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,112 : 2,100,168 = 402,840 : x
  2. Step 2: Convert to fraction form
    1,400,112/2,100,168 = 402,840/x
  3. Step 3: Cross multiply
    1,400,112x = 2,100,168 × 402,840
  4. Step 4: Simplify right side
    1,400,112x = 846,031,677,120
  5. Step 5: Solve for x
    x = 846,031,677,120/1,400,112
  6. Step 6: Final answer
    x = 604,260

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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.