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Finding the Fourth Proportional to 428,679.16, 643,030.74 and 162,389.56

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Solution

The fourth proportional to 428,679.16, 643,030.74 and 162,389.56 is: 243,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,679.16 : 643,030.74 = 162,389.56 : x
  2. Step 2: Convert to fraction form
    428,679.16/643,030.74 = 162,389.56/x
  3. Step 3: Cross multiply
    428,679.16x = 643,030.74 × 162,389.56
  4. Step 4: Simplify right side
    428,679.16x = 104,421,478,935.07
  5. Step 5: Solve for x
    x = 104,421,478,935.07/428,679.16
  6. Step 6: Final answer
    x = 243,588.89

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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.