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Finding the Fourth Proportional to 478,080.78, 716,954.05 and 141,031.98

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Solution

The fourth proportional to 478,080.78, 716,954.05 and 141,031.98 is: 211,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,080.78 : 716,954.05 = 141,031.98 : x
  2. Step 2: Convert to fraction form
    478,080.78/716,954.05 = 141,031.98/x
  3. Step 3: Cross multiply
    478,080.78x = 716,954.05 × 141,031.98
  4. Step 4: Simplify right side
    478,080.78x = 101,113,449,416.81
  5. Step 5: Solve for x
    x = 101,113,449,416.81/478,080.78
  6. Step 6: Final answer
    x = 211,498.67

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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.