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Finding the Fourth Proportional to 299,520, 413,000.64 and 244,901.76

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Solution

The fourth proportional to 299,520, 413,000.64 and 244,901.76 is: 337,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,520 : 413,000.64 = 244,901.76 : x
  2. Step 2: Convert to fraction form
    299,520/413,000.64 = 244,901.76/x
  3. Step 3: Cross multiply
    299,520x = 413,000.64 × 244,901.76
  4. Step 4: Simplify right side
    299,520x = 101,144,583,617.13
  5. Step 5: Solve for x
    x = 101,144,583,617.13/299,520
  6. Step 6: Final answer
    x = 337,688.91

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1.5x scale

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.