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Finding the Fourth Proportional to 289,678.56, 399,750.36 and 158,854.32

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Solution

The fourth proportional to 289,678.56, 399,750.36 and 158,854.32 is: 219,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,678.56 : 399,750.36 = 158,854.32 : x
  2. Step 2: Convert to fraction form
    289,678.56/399,750.36 = 158,854.32/x
  3. Step 3: Cross multiply
    289,678.56x = 399,750.36 × 158,854.32
  4. Step 4: Simplify right side
    289,678.56x = 63,502,071,607.56
  5. Step 5: Solve for x
    x = 63,502,071,607.56/289,678.56
  6. Step 6: Final answer
    x = 219,215.64

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1.5x scale

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.