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Finding the Fourth Proportional to 514,729.60, 772,785.60 and 328,566.40

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Solution

The fourth proportional to 514,729.60, 772,785.60 and 328,566.40 is: 493,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,729.60 : 772,785.60 = 328,566.40 : x
  2. Step 2: Convert to fraction form
    514,729.60/772,785.60 = 328,566.40/x
  3. Step 3: Cross multiply
    514,729.60x = 772,785.60 × 328,566.40
  4. Step 4: Simplify right side
    514,729.60x = 253,911,382,563.84
  5. Step 5: Solve for x
    x = 253,911,382,563.84/514,729.60
  6. Step 6: Final answer
    x = 493,290.81

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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.