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Finding the Fourth Proportional to 713,743.86, 984,875.74 and 407,840.07

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Solution

The fourth proportional to 713,743.86, 984,875.74 and 407,840.07 is: 562,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,743.86 : 984,875.74 = 407,840.07 : x
  2. Step 2: Convert to fraction form
    713,743.86/984,875.74 = 407,840.07/x
  3. Step 3: Cross multiply
    713,743.86x = 984,875.74 × 407,840.07
  4. Step 4: Simplify right side
    713,743.86x = 401,671,790,742.90
  5. Step 5: Solve for x
    x = 401,671,790,742.90/713,743.86
  6. Step 6: Final answer
    x = 562,767.42

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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.