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Finding the Fourth Proportional to 570,433.90, 787,208.12 and 312,306.56

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Solution

The fourth proportional to 570,433.90, 787,208.12 and 312,306.56 is: 430,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,433.90 : 787,208.12 = 312,306.56 : x
  2. Step 2: Convert to fraction form
    570,433.90/787,208.12 = 312,306.56/x
  3. Step 3: Cross multiply
    570,433.90x = 787,208.12 × 312,306.56
  4. Step 4: Simplify right side
    570,433.90x = 245,850,259,961.27
  5. Step 5: Solve for x
    x = 245,850,259,961.27/570,433.90
  6. Step 6: Final answer
    x = 430,988.17

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1.5x scale

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.