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Finding the Fourth Proportional to 570,437.30, 786,956.31 and 343,956.98

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Solution

The fourth proportional to 570,437.30, 786,956.31 and 343,956.98 is: 474,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,437.30 : 786,956.31 = 343,956.98 : x
  2. Step 2: Convert to fraction form
    570,437.30/786,956.31 = 343,956.98/x
  3. Step 3: Cross multiply
    570,437.30x = 786,956.31 × 343,956.98
  4. Step 4: Simplify right side
    570,437.30x = 270,679,115,779.54
  5. Step 5: Solve for x
    x = 270,679,115,779.54/570,437.30
  6. Step 6: Final answer
    x = 474,511.60

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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.