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Finding the Fourth Proportional to 458,666.04, 688,164.18 and 205,926.84

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Solution

The fourth proportional to 458,666.04, 688,164.18 and 205,926.84 is: 308,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,666.04 : 688,164.18 = 205,926.84 : x
  2. Step 2: Convert to fraction form
    458,666.04/688,164.18 = 205,926.84/x
  3. Step 3: Cross multiply
    458,666.04x = 688,164.18 × 205,926.84
  4. Step 4: Simplify right side
    458,666.04x = 141,711,474,988.59
  5. Step 5: Solve for x
    x = 141,711,474,988.59/458,666.04
  6. Step 6: Final answer
    x = 308,964.39

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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.