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Finding the Fourth Proportional to 514,971.30, 772,670.34 and 278,035.50

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Solution

The fourth proportional to 514,971.30, 772,670.34 and 278,035.50 is: 417,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,971.30 : 772,670.34 = 278,035.50 : x
  2. Step 2: Convert to fraction form
    514,971.30/772,670.34 = 278,035.50/x
  3. Step 3: Cross multiply
    514,971.30x = 772,670.34 × 278,035.50
  4. Step 4: Simplify right side
    514,971.30x = 214,829,784,317.07
  5. Step 5: Solve for x
    x = 214,829,784,317.07/514,971.30
  6. Step 6: Final answer
    x = 417,168.46

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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.