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Finding the Fourth Proportional to 710,380, 980,324.40 and 392,428

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Solution

The fourth proportional to 710,380, 980,324.40 and 392,428 is: 541,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,380 : 980,324.40 = 392,428 : x
  2. Step 2: Convert to fraction form
    710,380/980,324.40 = 392,428/x
  3. Step 3: Cross multiply
    710,380x = 980,324.40 × 392,428
  4. Step 4: Simplify right side
    710,380x = 384,706,743,643.20
  5. Step 5: Solve for x
    x = 384,706,743,643.20/710,380
  6. Step 6: Final answer
    x = 541,550.64

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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.