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Finding the Fourth Proportional to 429,987.52, 593,442.64 and 309,527.52

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Solution

The fourth proportional to 429,987.52, 593,442.64 and 309,527.52 is: 427,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,987.52 : 593,442.64 = 309,527.52 : x
  2. Step 2: Convert to fraction form
    429,987.52/593,442.64 = 309,527.52/x
  3. Step 3: Cross multiply
    429,987.52x = 593,442.64 × 309,527.52
  4. Step 4: Simplify right side
    429,987.52x = 183,686,828,621.45
  5. Step 5: Solve for x
    x = 183,686,828,621.45/429,987.52
  6. Step 6: Final answer
    x = 427,191.07

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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.