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Finding the Fourth Proportional to 379,070.17, 523,103.10 and 209,300.65

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Solution

The fourth proportional to 379,070.17, 523,103.10 and 209,300.65 is: 288,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,070.17 : 523,103.10 = 209,300.65 : x
  2. Step 2: Convert to fraction form
    379,070.17/523,103.10 = 209,300.65/x
  3. Step 3: Cross multiply
    379,070.17x = 523,103.10 × 209,300.65
  4. Step 4: Simplify right side
    379,070.17x = 109,485,818,847.02
  5. Step 5: Solve for x
    x = 109,485,818,847.02/379,070.17
  6. Step 6: Final answer
    x = 288,827.31

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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.