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Finding the Fourth Proportional to 648,708.40, 973,062.60 and 470,378.80

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Solution

The fourth proportional to 648,708.40, 973,062.60 and 470,378.80 is: 705,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,708.40 : 973,062.60 = 470,378.80 : x
  2. Step 2: Convert to fraction form
    648,708.40/973,062.60 = 470,378.80/x
  3. Step 3: Cross multiply
    648,708.40x = 973,062.60 × 470,378.80
  4. Step 4: Simplify right side
    648,708.40x = 457,708,018,112.88
  5. Step 5: Solve for x
    x = 457,708,018,112.88/648,708.40
  6. Step 6: Final answer
    x = 705,568.20

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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.