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Finding the Fourth Proportional to 411,880.94, 615,316.70 and 266,603.32

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Solution

The fourth proportional to 411,880.94, 615,316.70 and 266,603.32 is: 398,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,880.94 : 615,316.70 = 266,603.32 : x
  2. Step 2: Convert to fraction form
    411,880.94/615,316.70 = 266,603.32/x
  3. Step 3: Cross multiply
    411,880.94x = 615,316.70 × 266,603.32
  4. Step 4: Simplify right side
    411,880.94x = 164,045,475,071.44
  5. Step 5: Solve for x
    x = 164,045,475,071.44/411,880.94
  6. Step 6: Final answer
    x = 398,283.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.