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Finding the Fourth Proportional to 708,285, 977,433.30 and 390,333

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Solution

The fourth proportional to 708,285, 977,433.30 and 390,333 is: 538,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,285 : 977,433.30 = 390,333 : x
  2. Step 2: Convert to fraction form
    708,285/977,433.30 = 390,333/x
  3. Step 3: Cross multiply
    708,285x = 977,433.30 × 390,333
  4. Step 4: Simplify right side
    708,285x = 381,524,472,288.90
  5. Step 5: Solve for x
    x = 381,524,472,288.90/708,285
  6. Step 6: Final answer
    x = 538,659.54

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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.