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Finding the Fourth Proportional to 762,310, 1,143,465 and 319,078

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Solution

The fourth proportional to 762,310, 1,143,465 and 319,078 is: 478,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,310 : 1,143,465 = 319,078 : x
  2. Step 2: Convert to fraction form
    762,310/1,143,465 = 319,078/x
  3. Step 3: Cross multiply
    762,310x = 1,143,465 × 319,078
  4. Step 4: Simplify right side
    762,310x = 364,854,525,270
  5. Step 5: Solve for x
    x = 364,854,525,270/762,310
  6. Step 6: Final answer
    x = 478,617

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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.