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Finding the Fourth Proportional to 433,510.86, 649,424.97 and 319,451.70

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Solution

The fourth proportional to 433,510.86, 649,424.97 and 319,451.70 is: 478,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,510.86 : 649,424.97 = 319,451.70 : x
  2. Step 2: Convert to fraction form
    433,510.86/649,424.97 = 319,451.70/x
  3. Step 3: Cross multiply
    433,510.86x = 649,424.97 × 319,451.70
  4. Step 4: Simplify right side
    433,510.86x = 207,459,910,688.95
  5. Step 5: Solve for x
    x = 207,459,910,688.95/433,510.86
  6. Step 6: Final answer
    x = 478,557.59

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1.5x scale

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.