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Finding the Fourth Proportional to 402,459.30, 603,682.74 and 102,937.23

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Solution

The fourth proportional to 402,459.30, 603,682.74 and 102,937.23 is: 154,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,459.30 : 603,682.74 = 102,937.23 : x
  2. Step 2: Convert to fraction form
    402,459.30/603,682.74 = 102,937.23/x
  3. Step 3: Cross multiply
    402,459.30x = 603,682.74 × 102,937.23
  4. Step 4: Simplify right side
    402,459.30x = 62,141,429,054.41
  5. Step 5: Solve for x
    x = 62,141,429,054.41/402,459.30
  6. Step 6: Final answer
    x = 154,404.26

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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.