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Finding the Fourth Proportional to 470,279.94, 649,088.58 and 289,146.96

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Solution

The fourth proportional to 470,279.94, 649,088.58 and 289,146.96 is: 399,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,279.94 : 649,088.58 = 289,146.96 : x
  2. Step 2: Convert to fraction form
    470,279.94/649,088.58 = 289,146.96/x
  3. Step 3: Cross multiply
    470,279.94x = 649,088.58 × 289,146.96
  4. Step 4: Simplify right side
    470,279.94x = 187,681,989,677.72
  5. Step 5: Solve for x
    x = 187,681,989,677.72/470,279.94
  6. Step 6: Final answer
    x = 399,085.68

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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.