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Finding the Fourth Proportional to 390,140, 538,393.20 and 211,292

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Solution

The fourth proportional to 390,140, 538,393.20 and 211,292 is: 291,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,140 : 538,393.20 = 211,292 : x
  2. Step 2: Convert to fraction form
    390,140/538,393.20 = 211,292/x
  3. Step 3: Cross multiply
    390,140x = 538,393.20 × 211,292
  4. Step 4: Simplify right side
    390,140x = 113,758,176,014.40
  5. Step 5: Solve for x
    x = 113,758,176,014.40/390,140
  6. Step 6: Final answer
    x = 291,582.96

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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.