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Finding the Fourth Proportional to 310,686.60, 428,291.10 and 219,762.48

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Solution

The fourth proportional to 310,686.60, 428,291.10 and 219,762.48 is: 302,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,686.60 : 428,291.10 = 219,762.48 : x
  2. Step 2: Convert to fraction form
    310,686.60/428,291.10 = 219,762.48/x
  3. Step 3: Cross multiply
    310,686.60x = 428,291.10 × 219,762.48
  4. Step 4: Simplify right side
    310,686.60x = 94,122,314,297.93
  5. Step 5: Solve for x
    x = 94,122,314,297.93/310,686.60
  6. Step 6: Final answer
    x = 302,949.38

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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.