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Finding the Fourth Proportional to 397,981, 549,208.30 and 216,692.93

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Solution

The fourth proportional to 397,981, 549,208.30 and 216,692.93 is: 299,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,981 : 549,208.30 = 216,692.93 : x
  2. Step 2: Convert to fraction form
    397,981/549,208.30 = 216,692.93/x
  3. Step 3: Cross multiply
    397,981x = 549,208.30 × 216,692.93
  4. Step 4: Simplify right side
    397,981x = 119,009,554,623.85
  5. Step 5: Solve for x
    x = 119,009,554,623.85/397,981
  6. Step 6: Final answer
    x = 299,033.26

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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.