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Finding the Fourth Proportional to 688,142.25, 949,710.76 and 416,359.98

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Solution

The fourth proportional to 688,142.25, 949,710.76 and 416,359.98 is: 574,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,142.25 : 949,710.76 = 416,359.98 : x
  2. Step 2: Convert to fraction form
    688,142.25/949,710.76 = 416,359.98/x
  3. Step 3: Cross multiply
    688,142.25x = 949,710.76 × 416,359.98
  4. Step 4: Simplify right side
    688,142.25x = 395,421,551,998.49
  5. Step 5: Solve for x
    x = 395,421,551,998.49/688,142.25
  6. Step 6: Final answer
    x = 574,621.82

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1.5x scale

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.