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Finding the Fourth Proportional to 430,319.16, 644,888.22 and 272,264.67

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Solution

The fourth proportional to 430,319.16, 644,888.22 and 272,264.67 is: 408,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,319.16 : 644,888.22 = 272,264.67 : x
  2. Step 2: Convert to fraction form
    430,319.16/644,888.22 = 272,264.67/x
  3. Step 3: Cross multiply
    430,319.16x = 644,888.22 × 272,264.67
  4. Step 4: Simplify right side
    430,319.16x = 175,580,278,405.19
  5. Step 5: Solve for x
    x = 175,580,278,405.19/430,319.16
  6. Step 6: Final answer
    x = 408,023.38

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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.