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Finding the Fourth Proportional to 389,114.82, 536,774.25 and 316,598.76

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Solution

The fourth proportional to 389,114.82, 536,774.25 and 316,598.76 is: 436,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,114.82 : 536,774.25 = 316,598.76 : x
  2. Step 2: Convert to fraction form
    389,114.82/536,774.25 = 316,598.76/x
  3. Step 3: Cross multiply
    389,114.82x = 536,774.25 × 316,598.76
  4. Step 4: Simplify right side
    389,114.82x = 169,942,060,607.99
  5. Step 5: Solve for x
    x = 169,942,060,607.99/389,114.82
  6. Step 6: Final answer
    x = 436,740.14

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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.