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Finding the Fourth Proportional to 472,454.87, 651,990.83 and 257,598.50

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Solution

The fourth proportional to 472,454.87, 651,990.83 and 257,598.50 is: 355,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,454.87 : 651,990.83 = 257,598.50 : x
  2. Step 2: Convert to fraction form
    472,454.87/651,990.83 = 257,598.50/x
  3. Step 3: Cross multiply
    472,454.87x = 651,990.83 × 257,598.50
  4. Step 4: Simplify right side
    472,454.87x = 167,951,855,273.81
  5. Step 5: Solve for x
    x = 167,951,855,273.81/472,454.87
  6. Step 6: Final answer
    x = 355,487.62

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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.