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Finding the Fourth Proportional to 507,355, 700,141.32 and 280,995.64

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Solution

The fourth proportional to 507,355, 700,141.32 and 280,995.64 is: 387,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,355 : 700,141.32 = 280,995.64 : x
  2. Step 2: Convert to fraction form
    507,355/700,141.32 = 280,995.64/x
  3. Step 3: Cross multiply
    507,355x = 700,141.32 × 280,995.64
  4. Step 4: Simplify right side
    507,355x = 196,736,658,303.85
  5. Step 5: Solve for x
    x = 196,736,658,303.85/507,355
  6. Step 6: Final answer
    x = 387,769.23

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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.