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Finding the Fourth Proportional to 389,042.84, 536,868.42 and 216,966.03

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Solution

The fourth proportional to 389,042.84, 536,868.42 and 216,966.03 is: 299,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,042.84 : 536,868.42 = 216,966.03 : x
  2. Step 2: Convert to fraction form
    389,042.84/536,868.42 = 216,966.03/x
  3. Step 3: Cross multiply
    389,042.84x = 536,868.42 × 216,966.03
  4. Step 4: Simplify right side
    389,042.84x = 116,482,209,719.77
  5. Step 5: Solve for x
    x = 116,482,209,719.77/389,042.84
  6. Step 6: Final answer
    x = 299,407.15

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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.