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Finding the Fourth Proportional to 634,497.09, 875,802.02 and 408,142.59

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Solution

The fourth proportional to 634,497.09, 875,802.02 and 408,142.59 is: 563,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,497.09 : 875,802.02 = 408,142.59 : x
  2. Step 2: Convert to fraction form
    634,497.09/875,802.02 = 408,142.59/x
  3. Step 3: Cross multiply
    634,497.09x = 875,802.02 × 408,142.59
  4. Step 4: Simplify right side
    634,497.09x = 357,452,104,770.03
  5. Step 5: Solve for x
    x = 357,452,104,770.03/634,497.09
  6. Step 6: Final answer
    x = 563,362.87

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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.