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Finding the Fourth Proportional to 476,069.80, 712,938.30 and 317,439.40

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Solution

The fourth proportional to 476,069.80, 712,938.30 and 317,439.40 is: 475,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,069.80 : 712,938.30 = 317,439.40 : x
  2. Step 2: Convert to fraction form
    476,069.80/712,938.30 = 317,439.40/x
  3. Step 3: Cross multiply
    476,069.80x = 712,938.30 × 317,439.40
  4. Step 4: Simplify right side
    476,069.80x = 226,314,706,189.02
  5. Step 5: Solve for x
    x = 226,314,706,189.02/476,069.80
  6. Step 6: Final answer
    x = 475,381.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.