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Finding the Fourth Proportional to 708,286, 977,434.68 and 390,334

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Solution

The fourth proportional to 708,286, 977,434.68 and 390,334 is: 538,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,286 : 977,434.68 = 390,334 : x
  2. Step 2: Convert to fraction form
    708,286/977,434.68 = 390,334/x
  3. Step 3: Cross multiply
    708,286x = 977,434.68 × 390,334
  4. Step 4: Simplify right side
    708,286x = 381,525,988,383.12
  5. Step 5: Solve for x
    x = 381,525,988,383.12/708,286
  6. Step 6: Final answer
    x = 538,660.92

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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.