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Finding the Fourth Proportional to 659,647.78, 910,315.69 and 357,841.78

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Solution

The fourth proportional to 659,647.78, 910,315.69 and 357,841.78 is: 493,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,647.78 : 910,315.69 = 357,841.78 : x
  2. Step 2: Convert to fraction form
    659,647.78/910,315.69 = 357,841.78/x
  3. Step 3: Cross multiply
    659,647.78x = 910,315.69 × 357,841.78
  4. Step 4: Simplify right side
    659,647.78x = 325,748,989,828.09
  5. Step 5: Solve for x
    x = 325,748,989,828.09/659,647.78
  6. Step 6: Final answer
    x = 493,822.61

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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.