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Finding the Fourth Proportional to 470,623.98, 708,496.68 and 428,773.01

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Solution

The fourth proportional to 470,623.98, 708,496.68 and 428,773.01 is: 645,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,623.98 : 708,496.68 = 428,773.01 : x
  2. Step 2: Convert to fraction form
    470,623.98/708,496.68 = 428,773.01/x
  3. Step 3: Cross multiply
    470,623.98x = 708,496.68 × 428,773.01
  4. Step 4: Simplify right side
    470,623.98x = 303,784,250,154.98
  5. Step 5: Solve for x
    x = 303,784,250,154.98/470,623.98
  6. Step 6: Final answer
    x = 645,492.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.