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Finding the Fourth Proportional to 389,142, 537,016.68 and 210,294

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Solution

The fourth proportional to 389,142, 537,016.68 and 210,294 is: 290,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,142 : 537,016.68 = 210,294 : x
  2. Step 2: Convert to fraction form
    389,142/537,016.68 = 210,294/x
  3. Step 3: Cross multiply
    389,142x = 537,016.68 × 210,294
  4. Step 4: Simplify right side
    389,142x = 112,931,385,703.92
  5. Step 5: Solve for x
    x = 112,931,385,703.92/389,142
  6. Step 6: Final answer
    x = 290,206.11

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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.