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Finding the Fourth Proportional to 309,830.68, 427,698.66 and 262,332.28

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Solution

The fourth proportional to 309,830.68, 427,698.66 and 262,332.28 is: 362,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,830.68 : 427,698.66 = 262,332.28 : x
  2. Step 2: Convert to fraction form
    309,830.68/427,698.66 = 262,332.28/x
  3. Step 3: Cross multiply
    309,830.68x = 427,698.66 × 262,332.28
  4. Step 4: Simplify right side
    309,830.68x = 112,199,164,630.75
  5. Step 5: Solve for x
    x = 112,199,164,630.75/309,830.68
  6. Step 6: Final answer
    x = 362,130.58

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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.