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Finding the Fourth Proportional to 402,690.04, 603,490.70 and 178,012.24

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Solution

The fourth proportional to 402,690.04, 603,490.70 and 178,012.24 is: 266,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,690.04 : 603,490.70 = 178,012.24 : x
  2. Step 2: Convert to fraction form
    402,690.04/603,490.70 = 178,012.24/x
  3. Step 3: Cross multiply
    402,690.04x = 603,490.70 × 178,012.24
  4. Step 4: Simplify right side
    402,690.04x = 107,428,731,326.17
  5. Step 5: Solve for x
    x = 107,428,731,326.17/402,690.04
  6. Step 6: Final answer
    x = 266,777.72

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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.