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Finding the Fourth Proportional to 458,106.51, 687,203.49 and 142,478.67

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Solution

The fourth proportional to 458,106.51, 687,203.49 and 142,478.67 is: 213,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,106.51 : 687,203.49 = 142,478.67 : x
  2. Step 2: Convert to fraction form
    458,106.51/687,203.49 = 142,478.67/x
  3. Step 3: Cross multiply
    458,106.51x = 687,203.49 × 142,478.67
  4. Step 4: Simplify right side
    458,106.51x = 97,911,839,274.56
  5. Step 5: Solve for x
    x = 97,911,839,274.56/458,106.51
  6. Step 6: Final answer
    x = 213,731.60

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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.