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Finding the Fourth Proportional to 570,433.64, 787,207.78 and 312,306.30

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Solution

The fourth proportional to 570,433.64, 787,207.78 and 312,306.30 is: 430,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,433.64 : 787,207.78 = 312,306.30 : x
  2. Step 2: Convert to fraction form
    570,433.64/787,207.78 = 312,306.30/x
  3. Step 3: Cross multiply
    570,433.64x = 787,207.78 × 312,306.30
  4. Step 4: Simplify right side
    570,433.64x = 245,849,949,103.01
  5. Step 5: Solve for x
    x = 245,849,949,103.01/570,433.64
  6. Step 6: Final answer
    x = 430,987.82

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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.