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Finding the Fourth Proportional to 389,748.16, 537,852.16 and 210,900.16

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Solution

The fourth proportional to 389,748.16, 537,852.16 and 210,900.16 is: 291,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,748.16 : 537,852.16 = 210,900.16 : x
  2. Step 2: Convert to fraction form
    389,748.16/537,852.16 = 210,900.16/x
  3. Step 3: Cross multiply
    389,748.16x = 537,852.16 × 210,900.16
  4. Step 4: Simplify right side
    389,748.16x = 113,433,106,600.35
  5. Step 5: Solve for x
    x = 113,433,106,600.35/389,748.16
  6. Step 6: Final answer
    x = 291,042.06

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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.