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Finding the Fourth Proportional to 570,857.40, 856,415.70 and 334,078.20

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Solution

The fourth proportional to 570,857.40, 856,415.70 and 334,078.20 is: 501,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,857.40 : 856,415.70 = 334,078.20 : x
  2. Step 2: Convert to fraction form
    570,857.40/856,415.70 = 334,078.20/x
  3. Step 3: Cross multiply
    570,857.40x = 856,415.70 × 334,078.20
  4. Step 4: Simplify right side
    570,857.40x = 286,109,815,507.74
  5. Step 5: Solve for x
    x = 286,109,815,507.74/570,857.40
  6. Step 6: Final answer
    x = 501,193.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.