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Finding the Fourth Proportional to 518,905.54, 716,102.34 and 289,461.16

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Solution

The fourth proportional to 518,905.54, 716,102.34 and 289,461.16 is: 399,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,905.54 : 716,102.34 = 289,461.16 : x
  2. Step 2: Convert to fraction form
    518,905.54/716,102.34 = 289,461.16/x
  3. Step 3: Cross multiply
    518,905.54x = 716,102.34 × 289,461.16
  4. Step 4: Simplify right side
    518,905.54x = 207,283,814,015.11
  5. Step 5: Solve for x
    x = 207,283,814,015.11/518,905.54
  6. Step 6: Final answer
    x = 399,463.48

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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.