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Finding the Fourth Proportional to 470,466, 705,699.54 and 128,912.31

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Solution

The fourth proportional to 470,466, 705,699.54 and 128,912.31 is: 193,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,466 : 705,699.54 = 128,912.31 : x
  2. Step 2: Convert to fraction form
    470,466/705,699.54 = 128,912.31/x
  3. Step 3: Cross multiply
    470,466x = 705,699.54 × 128,912.31
  4. Step 4: Simplify right side
    470,466x = 90,973,357,867.34
  5. Step 5: Solve for x
    x = 90,973,357,867.34/470,466
  6. Step 6: Final answer
    x = 193,368.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.