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Finding the Fourth Proportional to 257,699.88, 384,457.38 and 243,749.57

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Solution

The fourth proportional to 257,699.88, 384,457.38 and 243,749.57 is: 363,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,699.88 : 384,457.38 = 243,749.57 : x
  2. Step 2: Convert to fraction form
    257,699.88/384,457.38 = 243,749.57/x
  3. Step 3: Cross multiply
    257,699.88x = 384,457.38 × 243,749.57
  4. Step 4: Simplify right side
    257,699.88x = 93,711,319,136.04
  5. Step 5: Solve for x
    x = 93,711,319,136.04/257,699.88
  6. Step 6: Final answer
    x = 363,645.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.