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Finding the Fourth Proportional to 456,694.94, 685,457.88 and 243,643.46

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Solution

The fourth proportional to 456,694.94, 685,457.88 and 243,643.46 is: 365,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,694.94 : 685,457.88 = 243,643.46 : x
  2. Step 2: Convert to fraction form
    456,694.94/685,457.88 = 243,643.46/x
  3. Step 3: Cross multiply
    456,694.94x = 685,457.88 × 243,643.46
  4. Step 4: Simplify right side
    456,694.94x = 167,007,329,567.47
  5. Step 5: Solve for x
    x = 167,007,329,567.47/456,694.94
  6. Step 6: Final answer
    x = 365,686.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.