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Finding the Fourth Proportional to 712,336, 982,980.30 and 390,049.96

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Solution

The fourth proportional to 712,336, 982,980.30 and 390,049.96 is: 538,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,336 : 982,980.30 = 390,049.96 : x
  2. Step 2: Convert to fraction form
    712,336/982,980.30 = 390,049.96/x
  3. Step 3: Cross multiply
    712,336x = 982,980.30 × 390,049.96
  4. Step 4: Simplify right side
    712,336x = 383,411,426,695.79
  5. Step 5: Solve for x
    x = 383,411,426,695.79/712,336
  6. Step 6: Final answer
    x = 538,245.19

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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.