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Finding the Fourth Proportional to 428,920.96, 592,064.16 and 292,857.28

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Solution

The fourth proportional to 428,920.96, 592,064.16 and 292,857.28 is: 404,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,920.96 : 592,064.16 = 292,857.28 : x
  2. Step 2: Convert to fraction form
    428,920.96/592,064.16 = 292,857.28/x
  3. Step 3: Cross multiply
    428,920.96x = 592,064.16 × 292,857.28
  4. Step 4: Simplify right side
    428,920.96x = 173,390,299,483.09
  5. Step 5: Solve for x
    x = 173,390,299,483.09/428,920.96
  6. Step 6: Final answer
    x = 404,247.67

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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.