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Finding the Fourth Proportional to 615,710.14, 849,671.90 and 343,782.68

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Solution

The fourth proportional to 615,710.14, 849,671.90 and 343,782.68 is: 474,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,710.14 : 849,671.90 = 343,782.68 : x
  2. Step 2: Convert to fraction form
    615,710.14/849,671.90 = 343,782.68/x
  3. Step 3: Cross multiply
    615,710.14x = 849,671.90 × 343,782.68
  4. Step 4: Simplify right side
    615,710.14x = 292,102,482,902.69
  5. Step 5: Solve for x
    x = 292,102,482,902.69/615,710.14
  6. Step 6: Final answer
    x = 474,415.58

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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.