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Finding the Fourth Proportional to 313,425, 432,526.50 and 179,289

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Solution

The fourth proportional to 313,425, 432,526.50 and 179,289 is: 247,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,425 : 432,526.50 = 179,289 : x
  2. Step 2: Convert to fraction form
    313,425/432,526.50 = 179,289/x
  3. Step 3: Cross multiply
    313,425x = 432,526.50 × 179,289
  4. Step 4: Simplify right side
    313,425x = 77,547,243,658.50
  5. Step 5: Solve for x
    x = 77,547,243,658.50/313,425
  6. Step 6: Final answer
    x = 247,418.82

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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.