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Finding the Fourth Proportional to 411,603.20, 618,038.40 and 224,979.20

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Solution

The fourth proportional to 411,603.20, 618,038.40 and 224,979.20 is: 337,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,603.20 : 618,038.40 = 224,979.20 : x
  2. Step 2: Convert to fraction form
    411,603.20/618,038.40 = 224,979.20/x
  3. Step 3: Cross multiply
    411,603.20x = 618,038.40 × 224,979.20
  4. Step 4: Simplify right side
    411,603.20x = 139,045,784,801.28
  5. Step 5: Solve for x
    x = 139,045,784,801.28/411,603.20
  6. Step 6: Final answer
    x = 337,815.12

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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.