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Finding the Fourth Proportional to 427,487.60, 589,938.72 and 266,407.76

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Solution

The fourth proportional to 427,487.60, 589,938.72 and 266,407.76 is: 367,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,487.60 : 589,938.72 = 266,407.76 : x
  2. Step 2: Convert to fraction form
    427,487.60/589,938.72 = 266,407.76/x
  3. Step 3: Cross multiply
    427,487.60x = 589,938.72 × 266,407.76
  4. Step 4: Simplify right side
    427,487.60x = 157,164,252,932.47
  5. Step 5: Solve for x
    x = 157,164,252,932.47/427,487.60
  6. Step 6: Final answer
    x = 367,646.34

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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.