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Finding the Fourth Proportional to 291,457.50, 437,203.80 and 91,784.40

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Solution

The fourth proportional to 291,457.50, 437,203.80 and 91,784.40 is: 137,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,457.50 : 437,203.80 = 91,784.40 : x
  2. Step 2: Convert to fraction form
    291,457.50/437,203.80 = 91,784.40/x
  3. Step 3: Cross multiply
    291,457.50x = 437,203.80 × 91,784.40
  4. Step 4: Simplify right side
    291,457.50x = 40,128,488,460.72
  5. Step 5: Solve for x
    x = 40,128,488,460.72/291,457.50
  6. Step 6: Final answer
    x = 137,682.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.