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Finding the Fourth Proportional to 688,128, 949,619.88 and 386,322

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Solution

The fourth proportional to 688,128, 949,619.88 and 386,322 is: 533,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,128 : 949,619.88 = 386,322 : x
  2. Step 2: Convert to fraction form
    688,128/949,619.88 = 386,322/x
  3. Step 3: Cross multiply
    688,128x = 949,619.88 × 386,322
  4. Step 4: Simplify right side
    688,128x = 366,859,051,281.36
  5. Step 5: Solve for x
    x = 366,859,051,281.36/688,128
  6. Step 6: Final answer
    x = 533,126.18

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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.