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Finding the Fourth Proportional to 429,216.49, 644,456.75 and 240,047.49

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Solution

The fourth proportional to 429,216.49, 644,456.75 and 240,047.49 is: 360,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,216.49 : 644,456.75 = 240,047.49 : x
  2. Step 2: Convert to fraction form
    429,216.49/644,456.75 = 240,047.49/x
  3. Step 3: Cross multiply
    429,216.49x = 644,456.75 × 240,047.49
  4. Step 4: Simplify right side
    429,216.49x = 154,700,225,251.06
  5. Step 5: Solve for x
    x = 154,700,225,251.06/429,216.49
  6. Step 6: Final answer
    x = 360,424.70

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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.