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Finding the Fourth Proportional to 469,778.64, 648,023.40 and 299,821.20

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Solution

The fourth proportional to 469,778.64, 648,023.40 and 299,821.20 is: 413,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,778.64 : 648,023.40 = 299,821.20 : x
  2. Step 2: Convert to fraction form
    469,778.64/648,023.40 = 299,821.20/x
  3. Step 3: Cross multiply
    469,778.64x = 648,023.40 × 299,821.20
  4. Step 4: Simplify right side
    469,778.64x = 194,291,153,416.08
  5. Step 5: Solve for x
    x = 194,291,153,416.08/469,778.64
  6. Step 6: Final answer
    x = 413,580.22

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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.