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Finding the Fourth Proportional to 402,492.15, 603,731.94 and 102,970.14

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Solution

The fourth proportional to 402,492.15, 603,731.94 and 102,970.14 is: 154,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,492.15 : 603,731.94 = 102,970.14 : x
  2. Step 2: Convert to fraction form
    402,492.15/603,731.94 = 102,970.14/x
  3. Step 3: Cross multiply
    402,492.15x = 603,731.94 × 102,970.14
  4. Step 4: Simplify right side
    402,492.15x = 62,166,362,384.27
  5. Step 5: Solve for x
    x = 62,166,362,384.27/402,492.15
  6. Step 6: Final answer
    x = 154,453.60

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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.