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Finding the Fourth Proportional to 341,312.25, 470,835.01 and 212,201.76

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Solution

The fourth proportional to 341,312.25, 470,835.01 and 212,201.76 is: 292,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,312.25 : 470,835.01 = 212,201.76 : x
  2. Step 2: Convert to fraction form
    341,312.25/470,835.01 = 212,201.76/x
  3. Step 3: Cross multiply
    341,312.25x = 470,835.01 × 212,201.76
  4. Step 4: Simplify right side
    341,312.25x = 99,912,018,041.36
  5. Step 5: Solve for x
    x = 99,912,018,041.36/341,312.25
  6. Step 6: Final answer
    x = 292,729.07

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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.