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Finding the Fourth Proportional to 345,870.90, 477,524.16 and 216,986.22

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Solution

The fourth proportional to 345,870.90, 477,524.16 and 216,986.22 is: 299,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,870.90 : 477,524.16 = 216,986.22 : x
  2. Step 2: Convert to fraction form
    345,870.90/477,524.16 = 216,986.22/x
  3. Step 3: Cross multiply
    345,870.90x = 477,524.16 × 216,986.22
  4. Step 4: Simplify right side
    345,870.90x = 103,616,162,437.08
  5. Step 5: Solve for x
    x = 103,616,162,437.08/345,870.90
  6. Step 6: Final answer
    x = 299,580.46

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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.