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Finding the Fourth Proportional to 706,133.76, 974,240.64 and 438,017.28

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Solution

The fourth proportional to 706,133.76, 974,240.64 and 438,017.28 is: 604,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,133.76 : 974,240.64 = 438,017.28 : x
  2. Step 2: Convert to fraction form
    706,133.76/974,240.64 = 438,017.28/x
  3. Step 3: Cross multiply
    706,133.76x = 974,240.64 × 438,017.28
  4. Step 4: Simplify right side
    706,133.76x = 426,734,235,198.26
  5. Step 5: Solve for x
    x = 426,734,235,198.26/706,133.76
  6. Step 6: Final answer
    x = 604,324.93

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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.