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Finding the Fourth Proportional to 284,386.70, 426,658 and 124,433.64

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Solution

The fourth proportional to 284,386.70, 426,658 and 124,433.64 is: 186,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,386.70 : 426,658 = 124,433.64 : x
  2. Step 2: Convert to fraction form
    284,386.70/426,658 = 124,433.64/x
  3. Step 3: Cross multiply
    284,386.70x = 426,658 × 124,433.64
  4. Step 4: Simplify right side
    284,386.70x = 53,090,607,975.12
  5. Step 5: Solve for x
    x = 53,090,607,975.12/284,386.70
  6. Step 6: Final answer
    x = 186,684.57

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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.