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Finding the Fourth Proportional to 684,076, 944,024.88 and 382,270

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Solution

The fourth proportional to 684,076, 944,024.88 and 382,270 is: 527,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,076 : 944,024.88 = 382,270 : x
  2. Step 2: Convert to fraction form
    684,076/944,024.88 = 382,270/x
  3. Step 3: Cross multiply
    684,076x = 944,024.88 × 382,270
  4. Step 4: Simplify right side
    684,076x = 360,872,390,877.60
  5. Step 5: Solve for x
    x = 360,872,390,877.60/684,076
  6. Step 6: Final answer
    x = 527,532.60

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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.