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Finding the Fourth Proportional to 429,218, 592,320.84 and 278,316.08

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Solution

The fourth proportional to 429,218, 592,320.84 and 278,316.08 is: 384,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,218 : 592,320.84 = 278,316.08 : x
  2. Step 2: Convert to fraction form
    429,218/592,320.84 = 278,316.08/x
  3. Step 3: Cross multiply
    429,218x = 592,320.84 × 278,316.08
  4. Step 4: Simplify right side
    429,218x = 164,852,414,291.11
  5. Step 5: Solve for x
    x = 164,852,414,291.11/429,218
  6. Step 6: Final answer
    x = 384,076.19

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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.