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Finding the Fourth Proportional to 513,457.98, 770,260.77 and 158,502.39

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Solution

The fourth proportional to 513,457.98, 770,260.77 and 158,502.39 is: 237,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,457.98 : 770,260.77 = 158,502.39 : x
  2. Step 2: Convert to fraction form
    513,457.98/770,260.77 = 158,502.39/x
  3. Step 3: Cross multiply
    513,457.98x = 770,260.77 × 158,502.39
  4. Step 4: Simplify right side
    513,457.98x = 122,088,172,968.24
  5. Step 5: Solve for x
    x = 122,088,172,968.24/513,457.98
  6. Step 6: Final answer
    x = 237,776.37

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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.