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Finding the Fourth Proportional to 429,429.78, 644,280.75 and 334,983.78

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Solution

The fourth proportional to 429,429.78, 644,280.75 and 334,983.78 is: 502,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,429.78 : 644,280.75 = 334,983.78 : x
  2. Step 2: Convert to fraction form
    429,429.78/644,280.75 = 334,983.78/x
  3. Step 3: Cross multiply
    429,429.78x = 644,280.75 × 334,983.78
  4. Step 4: Simplify right side
    429,429.78x = 215,823,601,016.24
  5. Step 5: Solve for x
    x = 215,823,601,016.24/429,429.78
  6. Step 6: Final answer
    x = 502,581.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.