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Finding the Fourth Proportional to 403,678, 557,075.64 and 224,830

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Solution

The fourth proportional to 403,678, 557,075.64 and 224,830 is: 310,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,678 : 557,075.64 = 224,830 : x
  2. Step 2: Convert to fraction form
    403,678/557,075.64 = 224,830/x
  3. Step 3: Cross multiply
    403,678x = 557,075.64 × 224,830
  4. Step 4: Simplify right side
    403,678x = 125,247,316,141.20
  5. Step 5: Solve for x
    x = 125,247,316,141.20/403,678
  6. Step 6: Final answer
    x = 310,265.40

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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.