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Finding the Fourth Proportional to 316,381.47, 436,810.20 and 282,331.40

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Solution

The fourth proportional to 316,381.47, 436,810.20 and 282,331.40 is: 389,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,381.47 : 436,810.20 = 282,331.40 : x
  2. Step 2: Convert to fraction form
    316,381.47/436,810.20 = 282,331.40/x
  3. Step 3: Cross multiply
    316,381.47x = 436,810.20 × 282,331.40
  4. Step 4: Simplify right side
    316,381.47x = 123,325,236,392.31
  5. Step 5: Solve for x
    x = 123,325,236,392.31/316,381.47
  6. Step 6: Final answer
    x = 389,799.18

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1.5x scale

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.