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Finding the Fourth Proportional to 877,385, 1,210,792.92 and 474,977

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Solution

The fourth proportional to 877,385, 1,210,792.92 and 474,977 is: 655,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,385 : 1,210,792.92 = 474,977 : x
  2. Step 2: Convert to fraction form
    877,385/1,210,792.92 = 474,977/x
  3. Step 3: Cross multiply
    877,385x = 1,210,792.92 × 474,977
  4. Step 4: Simplify right side
    877,385x = 575,098,788,762.84
  5. Step 5: Solve for x
    x = 575,098,788,762.84/877,385
  6. Step 6: Final answer
    x = 655,469.14

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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.