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Finding the Fourth Proportional to 614,000.96, 919,300.80 and 313,835.20

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Solution

The fourth proportional to 614,000.96, 919,300.80 and 313,835.20 is: 469,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,000.96 : 919,300.80 = 313,835.20 : x
  2. Step 2: Convert to fraction form
    614,000.96/919,300.80 = 313,835.20/x
  3. Step 3: Cross multiply
    614,000.96x = 919,300.80 × 313,835.20
  4. Step 4: Simplify right side
    614,000.96x = 288,508,950,428.16
  5. Step 5: Solve for x
    x = 288,508,950,428.16/614,000.96
  6. Step 6: Final answer
    x = 469,883.55

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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.