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Finding the Fourth Proportional to 470,083.32, 703,565.70 and 428,060.52

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Solution

The fourth proportional to 470,083.32, 703,565.70 and 428,060.52 is: 640,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,083.32 : 703,565.70 = 428,060.52 : x
  2. Step 2: Convert to fraction form
    470,083.32/703,565.70 = 428,060.52/x
  3. Step 3: Cross multiply
    470,083.32x = 703,565.70 × 428,060.52
  4. Step 4: Simplify right side
    470,083.32x = 301,168,699,396.16
  5. Step 5: Solve for x
    x = 301,168,699,396.16/470,083.32
  6. Step 6: Final answer
    x = 640,670.89

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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.