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Finding the Fourth Proportional to 379,702.98, 524,000.61 and 209,943.18

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Solution

The fourth proportional to 379,702.98, 524,000.61 and 209,943.18 is: 289,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,702.98 : 524,000.61 = 209,943.18 : x
  2. Step 2: Convert to fraction form
    379,702.98/524,000.61 = 209,943.18/x
  3. Step 3: Cross multiply
    379,702.98x = 524,000.61 × 209,943.18
  4. Step 4: Simplify right side
    379,702.98x = 110,010,354,385.34
  5. Step 5: Solve for x
    x = 110,010,354,385.34/379,702.98
  6. Step 6: Final answer
    x = 289,727.39

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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.