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Finding the Fourth Proportional to 430,313.55, 644,879.83 and 272,259.06

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Solution

The fourth proportional to 430,313.55, 644,879.83 and 272,259.06 is: 408,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,313.55 : 644,879.83 = 272,259.06 : x
  2. Step 2: Convert to fraction form
    430,313.55/644,879.83 = 272,259.06/x
  3. Step 3: Cross multiply
    430,313.55x = 644,879.83 × 272,259.06
  4. Step 4: Simplify right side
    430,313.55x = 175,574,376,328.76
  5. Step 5: Solve for x
    x = 175,574,376,328.76/430,313.55
  6. Step 6: Final answer
    x = 408,014.98

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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.