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Finding the Fourth Proportional to 684,153, 944,160.30 and 382,347

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Solution

The fourth proportional to 684,153, 944,160.30 and 382,347 is: 527,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,153 : 944,160.30 = 382,347 : x
  2. Step 2: Convert to fraction form
    684,153/944,160.30 = 382,347/x
  3. Step 3: Cross multiply
    684,153x = 944,160.30 × 382,347
  4. Step 4: Simplify right side
    684,153x = 360,996,858,224.10
  5. Step 5: Solve for x
    x = 360,996,858,224.10/684,153
  6. Step 6: Final answer
    x = 527,655.16

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1.5x scale

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.