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Finding the Fourth Proportional to 713,407.77, 984,465.24 and 407,423.75

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Solution

The fourth proportional to 713,407.77, 984,465.24 and 407,423.75 is: 562,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,407.77 : 984,465.24 = 407,423.75 : x
  2. Step 2: Convert to fraction form
    713,407.77/984,465.24 = 407,423.75/x
  3. Step 3: Cross multiply
    713,407.77x = 984,465.24 × 407,423.75
  4. Step 4: Simplify right side
    713,407.77x = 401,094,515,857.61
  5. Step 5: Solve for x
    x = 401,094,515,857.61/713,407.77
  6. Step 6: Final answer
    x = 562,223.36

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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.