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Finding the Fourth Proportional to 464,578.08, 697,294.80 and 287,431.08

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Solution

The fourth proportional to 464,578.08, 697,294.80 and 287,431.08 is: 431,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,578.08 : 697,294.80 = 287,431.08 : x
  2. Step 2: Convert to fraction form
    464,578.08/697,294.80 = 287,431.08/x
  3. Step 3: Cross multiply
    464,578.08x = 697,294.80 × 287,431.08
  4. Step 4: Simplify right side
    464,578.08x = 200,424,197,442.38
  5. Step 5: Solve for x
    x = 200,424,197,442.38/464,578.08
  6. Step 6: Final answer
    x = 431,411.22

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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.