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Finding the Fourth Proportional to 602,037.78, 830,821.77 and 330,130.50

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Solution

The fourth proportional to 602,037.78, 830,821.77 and 330,130.50 is: 455,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,037.78 : 830,821.77 = 330,130.50 : x
  2. Step 2: Convert to fraction form
    602,037.78/830,821.77 = 330,130.50/x
  3. Step 3: Cross multiply
    602,037.78x = 830,821.77 × 330,130.50
  4. Step 4: Simplify right side
    602,037.78x = 274,279,606,340.99
  5. Step 5: Solve for x
    x = 274,279,606,340.99/602,037.78
  6. Step 6: Final answer
    x = 455,585.37

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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.