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Finding the Fourth Proportional to 438,102.92, 657,155.10 and 105,678.92

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Solution

The fourth proportional to 438,102.92, 657,155.10 and 105,678.92 is: 158,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,102.92 : 657,155.10 = 105,678.92 : x
  2. Step 2: Convert to fraction form
    438,102.92/657,155.10 = 105,678.92/x
  3. Step 3: Cross multiply
    438,102.92x = 657,155.10 × 105,678.92
  4. Step 4: Simplify right side
    438,102.92x = 69,447,441,240.49
  5. Step 5: Solve for x
    x = 69,447,441,240.49/438,102.92
  6. Step 6: Final answer
    x = 158,518.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.