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Finding the Fourth Proportional to 389,324, 537,268.40 and 210,477.28

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Solution

The fourth proportional to 389,324, 537,268.40 and 210,477.28 is: 290,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,324 : 537,268.40 = 210,477.28 : x
  2. Step 2: Convert to fraction form
    389,324/537,268.40 = 210,477.28/x
  3. Step 3: Cross multiply
    389,324x = 537,268.40 × 210,477.28
  4. Step 4: Simplify right side
    389,324x = 113,082,791,461.95
  5. Step 5: Solve for x
    x = 113,082,791,461.95/389,324
  6. Step 6: Final answer
    x = 290,459.34

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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.