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Finding the Fourth Proportional to 390,665, 539,117.70 and 211,817

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Solution

The fourth proportional to 390,665, 539,117.70 and 211,817 is: 292,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,665 : 539,117.70 = 211,817 : x
  2. Step 2: Convert to fraction form
    390,665/539,117.70 = 211,817/x
  3. Step 3: Cross multiply
    390,665x = 539,117.70 × 211,817
  4. Step 4: Simplify right side
    390,665x = 114,194,293,860.90
  5. Step 5: Solve for x
    x = 114,194,293,860.90/390,665
  6. Step 6: Final answer
    x = 292,307.46

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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.