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Finding the Fourth Proportional to 429,473.90, 592,738.62 and 309,013.94

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Solution

The fourth proportional to 429,473.90, 592,738.62 and 309,013.94 is: 426,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,473.90 : 592,738.62 = 309,013.94 : x
  2. Step 2: Convert to fraction form
    429,473.90/592,738.62 = 309,013.94/x
  3. Step 3: Cross multiply
    429,473.90x = 592,738.62 × 309,013.94
  4. Step 4: Simplify right side
    429,473.90x = 183,164,496,356.36
  5. Step 5: Solve for x
    x = 183,164,496,356.36/429,473.90
  6. Step 6: Final answer
    x = 426,485.75

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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.