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Finding the Fourth Proportional to 286,403.60, 429,572.48 and 76,058

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Solution

The fourth proportional to 286,403.60, 429,572.48 and 76,058 is: 114,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,403.60 : 429,572.48 = 76,058 : x
  2. Step 2: Convert to fraction form
    286,403.60/429,572.48 = 76,058/x
  3. Step 3: Cross multiply
    286,403.60x = 429,572.48 × 76,058
  4. Step 4: Simplify right side
    286,403.60x = 32,672,423,683.84
  5. Step 5: Solve for x
    x = 32,672,423,683.84/286,403.60
  6. Step 6: Final answer
    x = 114,078.26

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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.