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Finding the Fourth Proportional to 684,155, 944,163.06 and 382,349

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Solution

The fourth proportional to 684,155, 944,163.06 and 382,349 is: 527,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,155 : 944,163.06 = 382,349 : x
  2. Step 2: Convert to fraction form
    684,155/944,163.06 = 382,349/x
  3. Step 3: Cross multiply
    684,155x = 944,163.06 × 382,349
  4. Step 4: Simplify right side
    684,155x = 360,999,801,827.94
  5. Step 5: Solve for x
    x = 360,999,801,827.94/684,155
  6. Step 6: Final answer
    x = 527,657.92

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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.