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Finding the Fourth Proportional to 615,684.74, 849,661.90 and 343,742.18

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Solution

The fourth proportional to 615,684.74, 849,661.90 and 343,742.18 is: 474,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,684.74 : 849,661.90 = 343,742.18 : x
  2. Step 2: Convert to fraction form
    615,684.74/849,661.90 = 343,742.18/x
  3. Step 3: Cross multiply
    615,684.74x = 849,661.90 × 343,742.18
  4. Step 4: Simplify right side
    615,684.74x = 292,064,628,661.28
  5. Step 5: Solve for x
    x = 292,064,628,661.28/615,684.74
  6. Step 6: Final answer
    x = 474,373.67

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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.