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Finding the Fourth Proportional to 283,804.66, 391,653.08 and 156,484.78

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Solution

The fourth proportional to 283,804.66, 391,653.08 and 156,484.78 is: 215,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,804.66 : 391,653.08 = 156,484.78 : x
  2. Step 2: Convert to fraction form
    283,804.66/391,653.08 = 156,484.78/x
  3. Step 3: Cross multiply
    283,804.66x = 391,653.08 × 156,484.78
  4. Step 4: Simplify right side
    283,804.66x = 61,287,746,060.12
  5. Step 5: Solve for x
    x = 61,287,746,060.12/283,804.66
  6. Step 6: Final answer
    x = 215,950.46

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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.