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Finding the Fourth Proportional to 747,814.67, 1,031,978.86 and 408,282.92

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Solution

The fourth proportional to 747,814.67, 1,031,978.86 and 408,282.92 is: 563,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,814.67 : 1,031,978.86 = 408,282.92 : x
  2. Step 2: Convert to fraction form
    747,814.67/1,031,978.86 = 408,282.92/x
  3. Step 3: Cross multiply
    747,814.67x = 1,031,978.86 × 408,282.92
  4. Step 4: Simplify right side
    747,814.67x = 421,339,342,339.07
  5. Step 5: Solve for x
    x = 421,339,342,339.07/747,814.67
  6. Step 6: Final answer
    x = 563,427.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.