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Finding the Fourth Proportional to 570,284.64, 787,168.17 and 328,728.66

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Solution

The fourth proportional to 570,284.64, 787,168.17 and 328,728.66 is: 453,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,284.64 : 787,168.17 = 328,728.66 : x
  2. Step 2: Convert to fraction form
    570,284.64/787,168.17 = 328,728.66/x
  3. Step 3: Cross multiply
    570,284.64x = 787,168.17 × 328,728.66
  4. Step 4: Simplify right side
    570,284.64x = 258,764,737,718.75
  5. Step 5: Solve for x
    x = 258,764,737,718.75/570,284.64
  6. Step 6: Final answer
    x = 453,746.64

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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.