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Finding the Fourth Proportional to 390,443, 538,811.70 and 211,595

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Solution

The fourth proportional to 390,443, 538,811.70 and 211,595 is: 292,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,443 : 538,811.70 = 211,595 : x
  2. Step 2: Convert to fraction form
    390,443/538,811.70 = 211,595/x
  3. Step 3: Cross multiply
    390,443x = 538,811.70 × 211,595
  4. Step 4: Simplify right side
    390,443x = 114,009,861,661.50
  5. Step 5: Solve for x
    x = 114,009,861,661.50/390,443
  6. Step 6: Final answer
    x = 292,001.30

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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.