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Finding the Fourth Proportional to 379,603.24, 523,829.70 and 209,827.24

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Solution

The fourth proportional to 379,603.24, 523,829.70 and 209,827.24 is: 289,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,603.24 : 523,829.70 = 209,827.24 : x
  2. Step 2: Convert to fraction form
    379,603.24/523,829.70 = 209,827.24/x
  3. Step 3: Cross multiply
    379,603.24x = 523,829.70 × 209,827.24
  4. Step 4: Simplify right side
    379,603.24x = 109,913,740,181.03
  5. Step 5: Solve for x
    x = 109,913,740,181.03/379,603.24
  6. Step 6: Final answer
    x = 289,549.00

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1.5x scale

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.