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Finding the Fourth Proportional to 268,468.47, 370,478.66 and 147,609.63

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Solution

The fourth proportional to 268,468.47, 370,478.66 and 147,609.63 is: 203,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,468.47 : 370,478.66 = 147,609.63 : x
  2. Step 2: Convert to fraction form
    268,468.47/370,478.66 = 147,609.63/x
  3. Step 3: Cross multiply
    268,468.47x = 370,478.66 × 147,609.63
  4. Step 4: Simplify right side
    268,468.47x = 54,686,217,187.45
  5. Step 5: Solve for x
    x = 54,686,217,187.45/268,468.47
  6. Step 6: Final answer
    x = 203,696.98

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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.