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Finding the Fourth Proportional to 716,457.09, 988,710.74 and 394,160.28

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Solution

The fourth proportional to 716,457.09, 988,710.74 and 394,160.28 is: 543,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,457.09 : 988,710.74 = 394,160.28 : x
  2. Step 2: Convert to fraction form
    716,457.09/988,710.74 = 394,160.28/x
  3. Step 3: Cross multiply
    716,457.09x = 988,710.74 × 394,160.28
  4. Step 4: Simplify right side
    716,457.09x = 389,710,502,117.41
  5. Step 5: Solve for x
    x = 389,710,502,117.41/716,457.09
  6. Step 6: Final answer
    x = 543,941.16

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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.