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Finding the Fourth Proportional to 719,846.90, 993,395.52 and 409,734.34

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Solution

The fourth proportional to 719,846.90, 993,395.52 and 409,734.34 is: 565,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,846.90 : 993,395.52 = 409,734.34 : x
  2. Step 2: Convert to fraction form
    719,846.90/993,395.52 = 409,734.34/x
  3. Step 3: Cross multiply
    719,846.90x = 993,395.52 × 409,734.34
  4. Step 4: Simplify right side
    719,846.90x = 407,028,250,730.51
  5. Step 5: Solve for x
    x = 407,028,250,730.51/719,846.90
  6. Step 6: Final answer
    x = 565,437.25

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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.