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Finding the Fourth Proportional to 750,321, 1,035,346.54 and 428,011.86

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Solution

The fourth proportional to 750,321, 1,035,346.54 and 428,011.86 is: 590,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,321 : 1,035,346.54 = 428,011.86 : x
  2. Step 2: Convert to fraction form
    750,321/1,035,346.54 = 428,011.86/x
  3. Step 3: Cross multiply
    750,321x = 1,035,346.54 × 428,011.86
  4. Step 4: Simplify right side
    750,321x = 443,140,598,329.96
  5. Step 5: Solve for x
    x = 443,140,598,329.96/750,321
  6. Step 6: Final answer
    x = 590,601.35

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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.