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Finding the Fourth Proportional to 570,590.34, 787,414.65 and 315,941.46

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Solution

The fourth proportional to 570,590.34, 787,414.65 and 315,941.46 is: 435,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,590.34 : 787,414.65 = 315,941.46 : x
  2. Step 2: Convert to fraction form
    570,590.34/787,414.65 = 315,941.46/x
  3. Step 3: Cross multiply
    570,590.34x = 787,414.65 × 315,941.46
  4. Step 4: Simplify right side
    570,590.34x = 248,776,934,146.39
  5. Step 5: Solve for x
    x = 248,776,934,146.39/570,590.34
  6. Step 6: Final answer
    x = 435,999.20

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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.