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Finding the Fourth Proportional to 320,457.10, 480,733.47 and 118,037.78

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Solution

The fourth proportional to 320,457.10, 480,733.47 and 118,037.78 is: 177,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,457.10 : 480,733.47 = 118,037.78 : x
  2. Step 2: Convert to fraction form
    320,457.10/480,733.47 = 118,037.78/x
  3. Step 3: Cross multiply
    320,457.10x = 480,733.47 × 118,037.78
  4. Step 4: Simplify right side
    320,457.10x = 56,744,710,980.31
  5. Step 5: Solve for x
    x = 56,744,710,980.31/320,457.10
  6. Step 6: Final answer
    x = 177,074.29

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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.