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Finding the Fourth Proportional to 570,831, 787,746.78 and 316,198.68

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Solution

The fourth proportional to 570,831, 787,746.78 and 316,198.68 is: 436,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,831 : 787,746.78 = 316,198.68 : x
  2. Step 2: Convert to fraction form
    570,831/787,746.78 = 316,198.68/x
  3. Step 3: Cross multiply
    570,831x = 787,746.78 × 316,198.68
  4. Step 4: Simplify right side
    570,831x = 249,084,492,010.25
  5. Step 5: Solve for x
    x = 249,084,492,010.25/570,831
  6. Step 6: Final answer
    x = 436,354.18

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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.