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Finding the Fourth Proportional to 688,434, 950,128.02 and 386,628

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Solution

The fourth proportional to 688,434, 950,128.02 and 386,628 is: 533,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,434 : 950,128.02 = 386,628 : x
  2. Step 2: Convert to fraction form
    688,434/950,128.02 = 386,628/x
  3. Step 3: Cross multiply
    688,434x = 950,128.02 × 386,628
  4. Step 4: Simplify right side
    688,434x = 367,346,096,116.56
  5. Step 5: Solve for x
    x = 367,346,096,116.56/688,434
  6. Step 6: Final answer
    x = 533,596.68

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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.