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Finding the Fourth Proportional to 656,357.80, 905,792.74 and 369,862.12

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Solution

The fourth proportional to 656,357.80, 905,792.74 and 369,862.12 is: 510,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,357.80 : 905,792.74 = 369,862.12 : x
  2. Step 2: Convert to fraction form
    656,357.80/905,792.74 = 369,862.12/x
  3. Step 3: Cross multiply
    656,357.80x = 905,792.74 × 369,862.12
  4. Step 4: Simplify right side
    656,357.80x = 335,018,423,097.01
  5. Step 5: Solve for x
    x = 335,018,423,097.01/656,357.80
  6. Step 6: Final answer
    x = 510,420.42

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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.