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Finding the Fourth Proportional to 432,509.95, 648,903.72 and 207,886.66

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Solution

The fourth proportional to 432,509.95, 648,903.72 and 207,886.66 is: 311,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,509.95 : 648,903.72 = 207,886.66 : x
  2. Step 2: Convert to fraction form
    432,509.95/648,903.72 = 207,886.66/x
  3. Step 3: Cross multiply
    432,509.95x = 648,903.72 × 207,886.66
  4. Step 4: Simplify right side
    432,509.95x = 134,898,427,012.38
  5. Step 5: Solve for x
    x = 134,898,427,012.38/432,509.95
  6. Step 6: Final answer
    x = 311,896.70

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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.