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Finding the Fourth Proportional to 468,009.10, 702,013.65 and 289,938.70

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Solution

The fourth proportional to 468,009.10, 702,013.65 and 289,938.70 is: 434,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,009.10 : 702,013.65 = 289,938.70 : x
  2. Step 2: Convert to fraction form
    468,009.10/702,013.65 = 289,938.70/x
  3. Step 3: Cross multiply
    468,009.10x = 702,013.65 × 289,938.70
  4. Step 4: Simplify right side
    468,009.10x = 203,540,925,063.26
  5. Step 5: Solve for x
    x = 203,540,925,063.26/468,009.10
  6. Step 6: Final answer
    x = 434,908.05

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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.