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Finding the Fourth Proportional to 390,197.01, 538,312.50 and 309,299.88

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Solution

The fourth proportional to 390,197.01, 538,312.50 and 309,299.88 is: 426,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,197.01 : 538,312.50 = 309,299.88 : x
  2. Step 2: Convert to fraction form
    390,197.01/538,312.50 = 309,299.88/x
  3. Step 3: Cross multiply
    390,197.01x = 538,312.50 × 309,299.88
  4. Step 4: Simplify right side
    390,197.01x = 166,499,991,652.50
  5. Step 5: Solve for x
    x = 166,499,991,652.50/390,197.01
  6. Step 6: Final answer
    x = 426,707.50

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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.