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Finding the Fourth Proportional to 429,216, 592,318.08 and 278,314.08

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Solution

The fourth proportional to 429,216, 592,318.08 and 278,314.08 is: 384,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,216 : 592,318.08 = 278,314.08 : x
  2. Step 2: Convert to fraction form
    429,216/592,318.08 = 278,314.08/x
  3. Step 3: Cross multiply
    429,216x = 592,318.08 × 278,314.08
  4. Step 4: Simplify right side
    429,216x = 164,850,461,502.57
  5. Step 5: Solve for x
    x = 164,850,461,502.57/429,216
  6. Step 6: Final answer
    x = 384,073.43

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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.