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Finding the Fourth Proportional to 713,400.12, 984,437.52 and 407,434.26

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Solution

The fourth proportional to 713,400.12, 984,437.52 and 407,434.26 is: 562,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,400.12 : 984,437.52 = 407,434.26 : x
  2. Step 2: Convert to fraction form
    713,400.12/984,437.52 = 407,434.26/x
  3. Step 3: Cross multiply
    713,400.12x = 984,437.52 × 407,434.26
  4. Step 4: Simplify right side
    713,400.12x = 401,093,572,477.44
  5. Step 5: Solve for x
    x = 401,093,572,477.44/713,400.12
  6. Step 6: Final answer
    x = 562,228.07

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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.