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Finding the Fourth Proportional to 518,072.12, 714,743.01 and 314,048.64

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Solution

The fourth proportional to 518,072.12, 714,743.01 and 314,048.64 is: 433,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,072.12 : 714,743.01 = 314,048.64 : x
  2. Step 2: Convert to fraction form
    518,072.12/714,743.01 = 314,048.64/x
  3. Step 3: Cross multiply
    518,072.12x = 714,743.01 × 314,048.64
  4. Step 4: Simplify right side
    518,072.12x = 224,464,070,240.01
  5. Step 5: Solve for x
    x = 224,464,070,240.01/518,072.12
  6. Step 6: Final answer
    x = 433,268.00

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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.