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Finding the Fourth Proportional to 713,384.88, 984,440.12 and 427,062.84

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Solution

The fourth proportional to 713,384.88, 984,440.12 and 427,062.84 is: 589,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,384.88 : 984,440.12 = 427,062.84 : x
  2. Step 2: Convert to fraction form
    713,384.88/984,440.12 = 427,062.84/x
  3. Step 3: Cross multiply
    713,384.88x = 984,440.12 × 427,062.84
  4. Step 4: Simplify right side
    713,384.88x = 420,417,793,457.14
  5. Step 5: Solve for x
    x = 420,417,793,457.14/713,384.88
  6. Step 6: Final answer
    x = 589,328.15

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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.