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Finding the Fourth Proportional to 507,863.94, 700,847.74 and 278,417.04

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Solution

The fourth proportional to 507,863.94, 700,847.74 and 278,417.04 is: 384,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,863.94 : 700,847.74 = 278,417.04 : x
  2. Step 2: Convert to fraction form
    507,863.94/700,847.74 = 278,417.04/x
  3. Step 3: Cross multiply
    507,863.94x = 700,847.74 × 278,417.04
  4. Step 4: Simplify right side
    507,863.94x = 195,127,953,261.49
  5. Step 5: Solve for x
    x = 195,127,953,261.49/507,863.94
  6. Step 6: Final answer
    x = 384,213.05

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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.