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Finding the Fourth Proportional to 509,762.87, 764,594.82 and 154,779.96

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Solution

The fourth proportional to 509,762.87, 764,594.82 and 154,779.96 is: 232,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,762.87 : 764,594.82 = 154,779.96 : x
  2. Step 2: Convert to fraction form
    509,762.87/764,594.82 = 154,779.96/x
  3. Step 3: Cross multiply
    509,762.87x = 764,594.82 × 154,779.96
  4. Step 4: Simplify right side
    509,762.87x = 118,343,955,655.81
  5. Step 5: Solve for x
    x = 118,343,955,655.81/509,762.87
  6. Step 6: Final answer
    x = 232,154.92

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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.