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Finding the Fourth Proportional to 486,314.40, 729,903.60 and 286,384.80

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Solution

The fourth proportional to 486,314.40, 729,903.60 and 286,384.80 is: 429,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,314.40 : 729,903.60 = 286,384.80 : x
  2. Step 2: Convert to fraction form
    486,314.40/729,903.60 = 286,384.80/x
  3. Step 3: Cross multiply
    486,314.40x = 729,903.60 × 286,384.80
  4. Step 4: Simplify right side
    486,314.40x = 209,033,296,505.28
  5. Step 5: Solve for x
    x = 209,033,296,505.28/486,314.40
  6. Step 6: Final answer
    x = 429,831.60

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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.