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Finding the Fourth Proportional to 379,465, 523,666.82 and 209,703.08

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Solution

The fourth proportional to 379,465, 523,666.82 and 209,703.08 is: 289,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,465 : 523,666.82 = 209,703.08 : x
  2. Step 2: Convert to fraction form
    379,465/523,666.82 = 209,703.08/x
  3. Step 3: Cross multiply
    379,465x = 523,666.82 × 209,703.08
  4. Step 4: Simplify right side
    379,465x = 109,814,545,047.81
  5. Step 5: Solve for x
    x = 109,814,545,047.81/379,465
  6. Step 6: Final answer
    x = 289,393.08

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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.