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Finding the Fourth Proportional to 402,521.82, 603,803.43 and 103,005.06

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Solution

The fourth proportional to 402,521.82, 603,803.43 and 103,005.06 is: 154,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,521.82 : 603,803.43 = 103,005.06 : x
  2. Step 2: Convert to fraction form
    402,521.82/603,803.43 = 103,005.06/x
  3. Step 3: Cross multiply
    402,521.82x = 603,803.43 × 103,005.06
  4. Step 4: Simplify right side
    402,521.82x = 62,194,808,535.36
  5. Step 5: Solve for x
    x = 62,194,808,535.36/402,521.82
  6. Step 6: Final answer
    x = 154,512.89

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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.