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Finding the Fourth Proportional to 713,705.51, 984,754.08 and 407,684.07

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Solution

The fourth proportional to 713,705.51, 984,754.08 and 407,684.07 is: 562,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,705.51 : 984,754.08 = 407,684.07 : x
  2. Step 2: Convert to fraction form
    713,705.51/984,754.08 = 407,684.07/x
  3. Step 3: Cross multiply
    713,705.51x = 984,754.08 × 407,684.07
  4. Step 4: Simplify right side
    713,705.51x = 401,468,551,283.51
  5. Step 5: Solve for x
    x = 401,468,551,283.51/713,705.51
  6. Step 6: Final answer
    x = 562,512.89

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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.