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Finding the Fourth Proportional to 429,963.84, 645,023.34 and 177,106.32

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Solution

The fourth proportional to 429,963.84, 645,023.34 and 177,106.32 is: 265,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,963.84 : 645,023.34 = 177,106.32 : x
  2. Step 2: Convert to fraction form
    429,963.84/645,023.34 = 177,106.32/x
  3. Step 3: Cross multiply
    429,963.84x = 645,023.34 × 177,106.32
  4. Step 4: Simplify right side
    429,963.84x = 114,237,710,061.51
  5. Step 5: Solve for x
    x = 114,237,710,061.51/429,963.84
  6. Step 6: Final answer
    x = 265,691.44

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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.