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Finding the Fourth Proportional to 553,681.86, 764,071.83 and 311,989.20

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Solution

The fourth proportional to 553,681.86, 764,071.83 and 311,989.20 is: 430,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,681.86 : 764,071.83 = 311,989.20 : x
  2. Step 2: Convert to fraction form
    553,681.86/764,071.83 = 311,989.20/x
  3. Step 3: Cross multiply
    553,681.86x = 764,071.83 × 311,989.20
  4. Step 4: Simplify right side
    553,681.86x = 238,382,158,984.24
  5. Step 5: Solve for x
    x = 238,382,158,984.24/553,681.86
  6. Step 6: Final answer
    x = 430,539.95

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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.