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Finding the Fourth Proportional to 470,560, 649,372.80 and 258,592

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Solution

The fourth proportional to 470,560, 649,372.80 and 258,592 is: 356,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,560 : 649,372.80 = 258,592 : x
  2. Step 2: Convert to fraction form
    470,560/649,372.80 = 258,592/x
  3. Step 3: Cross multiply
    470,560x = 649,372.80 × 258,592
  4. Step 4: Simplify right side
    470,560x = 167,922,611,097.60
  5. Step 5: Solve for x
    x = 167,922,611,097.60/470,560
  6. Step 6: Final answer
    x = 356,856.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.