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Finding the Fourth Proportional to 230,045, 317,429.42 and 128,056.30

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Solution

The fourth proportional to 230,045, 317,429.42 and 128,056.30 is: 176,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,045 : 317,429.42 = 128,056.30 : x
  2. Step 2: Convert to fraction form
    230,045/317,429.42 = 128,056.30/x
  3. Step 3: Cross multiply
    230,045x = 317,429.42 × 128,056.30
  4. Step 4: Simplify right side
    230,045x = 40,648,837,036.35
  5. Step 5: Solve for x
    x = 40,648,837,036.35/230,045
  6. Step 6: Final answer
    x = 176,699.50

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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.