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Finding the Fourth Proportional to 407,970.30, 611,810.64 and 119,701.50

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Solution

The fourth proportional to 407,970.30, 611,810.64 and 119,701.50 is: 179,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,970.30 : 611,810.64 = 119,701.50 : x
  2. Step 2: Convert to fraction form
    407,970.30/611,810.64 = 119,701.50/x
  3. Step 3: Cross multiply
    407,970.30x = 611,810.64 × 119,701.50
  4. Step 4: Simplify right side
    407,970.30x = 73,234,651,323.96
  5. Step 5: Solve for x
    x = 73,234,651,323.96/407,970.30
  6. Step 6: Final answer
    x = 179,509.76

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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.