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Finding the Fourth Proportional to 389,506, 537,518.28 and 210,658

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Solution

The fourth proportional to 389,506, 537,518.28 and 210,658 is: 290,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,506 : 537,518.28 = 210,658 : x
  2. Step 2: Convert to fraction form
    389,506/537,518.28 = 210,658/x
  3. Step 3: Cross multiply
    389,506x = 537,518.28 × 210,658
  4. Step 4: Simplify right side
    389,506x = 113,232,525,828.24
  5. Step 5: Solve for x
    x = 113,232,525,828.24/389,506
  6. Step 6: Final answer
    x = 290,708.04

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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.