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Finding the Fourth Proportional to 268,583.40, 402,291.90 and 163,607.40

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Solution

The fourth proportional to 268,583.40, 402,291.90 and 163,607.40 is: 245,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,583.40 : 402,291.90 = 163,607.40 : x
  2. Step 2: Convert to fraction form
    268,583.40/402,291.90 = 163,607.40/x
  3. Step 3: Cross multiply
    268,583.40x = 402,291.90 × 163,607.40
  4. Step 4: Simplify right side
    268,583.40x = 65,817,931,800.06
  5. Step 5: Solve for x
    x = 65,817,931,800.06/268,583.40
  6. Step 6: Final answer
    x = 245,055.84

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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.