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Finding the Fourth Proportional to 518,898.32, 716,048.80 and 301,090.13

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Solution

The fourth proportional to 518,898.32, 716,048.80 and 301,090.13 is: 415,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,898.32 : 716,048.80 = 301,090.13 : x
  2. Step 2: Convert to fraction form
    518,898.32/716,048.80 = 301,090.13/x
  3. Step 3: Cross multiply
    518,898.32x = 716,048.80 × 301,090.13
  4. Step 4: Simplify right side
    518,898.32x = 215,595,226,278.34
  5. Step 5: Solve for x
    x = 215,595,226,278.34/518,898.32
  6. Step 6: Final answer
    x = 415,486.46

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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.