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Finding the Fourth Proportional to 509,411.07, 764,276.63 and 210,032.55

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Solution

The fourth proportional to 509,411.07, 764,276.63 and 210,032.55 is: 315,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,411.07 : 764,276.63 = 210,032.55 : x
  2. Step 2: Convert to fraction form
    509,411.07/764,276.63 = 210,032.55/x
  3. Step 3: Cross multiply
    509,411.07x = 764,276.63 × 210,032.55
  4. Step 4: Simplify right side
    509,411.07x = 160,522,968,454.14
  5. Step 5: Solve for x
    x = 160,522,968,454.14/509,411.07
  6. Step 6: Final answer
    x = 315,114.80

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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.