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Finding the Fourth Proportional to 538,270.52, 807,143.13 and 307,432.67

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Solution

The fourth proportional to 538,270.52, 807,143.13 and 307,432.67 is: 460,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,270.52 : 807,143.13 = 307,432.67 : x
  2. Step 2: Convert to fraction form
    538,270.52/807,143.13 = 307,432.67/x
  3. Step 3: Cross multiply
    538,270.52x = 807,143.13 × 307,432.67
  4. Step 4: Simplify right side
    538,270.52x = 248,142,163,492.34
  5. Step 5: Solve for x
    x = 248,142,163,492.34/538,270.52
  6. Step 6: Final answer
    x = 460,998.99

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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.