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Finding the Fourth Proportional to 518,036.40, 714,700.61 and 313,940.09

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Solution

The fourth proportional to 518,036.40, 714,700.61 and 313,940.09 is: 433,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,036.40 : 714,700.61 = 313,940.09 : x
  2. Step 2: Convert to fraction form
    518,036.40/714,700.61 = 313,940.09/x
  3. Step 3: Cross multiply
    518,036.40x = 714,700.61 × 313,940.09
  4. Step 4: Simplify right side
    518,036.40x = 224,373,168,683.25
  5. Step 5: Solve for x
    x = 224,373,168,683.25/518,036.40
  6. Step 6: Final answer
    x = 433,122.40

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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.