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Finding the Fourth Proportional to 478,301.45, 660,031.09 and 297,009.49

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Solution

The fourth proportional to 478,301.45, 660,031.09 and 297,009.49 is: 409,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,301.45 : 660,031.09 = 297,009.49 : x
  2. Step 2: Convert to fraction form
    478,301.45/660,031.09 = 297,009.49/x
  3. Step 3: Cross multiply
    478,301.45x = 660,031.09 × 297,009.49
  4. Step 4: Simplify right side
    478,301.45x = 196,035,495,032.44
  5. Step 5: Solve for x
    x = 196,035,495,032.44/478,301.45
  6. Step 6: Final answer
    x = 409,857.63

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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.