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Finding the Fourth Proportional to 313,641.64, 432,730.11 and 177,653.98

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Solution

The fourth proportional to 313,641.64, 432,730.11 and 177,653.98 is: 245,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,641.64 : 432,730.11 = 177,653.98 : x
  2. Step 2: Convert to fraction form
    313,641.64/432,730.11 = 177,653.98/x
  3. Step 3: Cross multiply
    313,641.64x = 432,730.11 × 177,653.98
  4. Step 4: Simplify right side
    313,641.64x = 76,876,226,307.34
  5. Step 5: Solve for x
    x = 76,876,226,307.34/313,641.64
  6. Step 6: Final answer
    x = 245,108.48

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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.