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Finding the Fourth Proportional to 713,522.98, 984,623.88 and 407,539.27

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Solution

The fourth proportional to 713,522.98, 984,623.88 and 407,539.27 is: 562,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,522.98 : 984,623.88 = 407,539.27 : x
  2. Step 2: Convert to fraction form
    713,522.98/984,623.88 = 407,539.27/x
  3. Step 3: Cross multiply
    713,522.98x = 984,623.88 × 407,539.27
  4. Step 4: Simplify right side
    713,522.98x = 401,272,897,279.77
  5. Step 5: Solve for x
    x = 401,272,897,279.77/713,522.98
  6. Step 6: Final answer
    x = 562,382.58

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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.