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Finding the Fourth Proportional to 475,913.68, 714,057.46 and 209,487.40

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Solution

The fourth proportional to 475,913.68, 714,057.46 and 209,487.40 is: 314,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,913.68 : 714,057.46 = 209,487.40 : x
  2. Step 2: Convert to fraction form
    475,913.68/714,057.46 = 209,487.40/x
  3. Step 3: Cross multiply
    475,913.68x = 714,057.46 × 209,487.40
  4. Step 4: Simplify right side
    475,913.68x = 149,586,038,437.14
  5. Step 5: Solve for x
    x = 149,586,038,437.14/475,913.68
  6. Step 6: Final answer
    x = 314,313.38

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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.