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Finding the Fourth Proportional to 314,947.60, 472,421.40 and 213,908.20

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Solution

The fourth proportional to 314,947.60, 472,421.40 and 213,908.20 is: 320,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,947.60 : 472,421.40 = 213,908.20 : x
  2. Step 2: Convert to fraction form
    314,947.60/472,421.40 = 213,908.20/x
  3. Step 3: Cross multiply
    314,947.60x = 472,421.40 × 213,908.20
  4. Step 4: Simplify right side
    314,947.60x = 101,054,811,315.48
  5. Step 5: Solve for x
    x = 101,054,811,315.48/314,947.60
  6. Step 6: Final answer
    x = 320,862.30

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1.5x scale

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.