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Finding the Fourth Proportional to 281,597.40, 388,601.16 and 152,533.40

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Solution

The fourth proportional to 281,597.40, 388,601.16 and 152,533.40 is: 210,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,597.40 : 388,601.16 = 152,533.40 : x
  2. Step 2: Convert to fraction form
    281,597.40/388,601.16 = 152,533.40/x
  3. Step 3: Cross multiply
    281,597.40x = 388,601.16 × 152,533.40
  4. Step 4: Simplify right side
    281,597.40x = 59,274,656,178.74
  5. Step 5: Solve for x
    x = 59,274,656,178.74/281,597.40
  6. Step 6: Final answer
    x = 210,494.33

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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.