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Finding the Fourth Proportional to 379,177.96, 523,298.13 and 209,444.89

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Solution

The fourth proportional to 379,177.96, 523,298.13 and 209,444.89 is: 289,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,177.96 : 523,298.13 = 209,444.89 : x
  2. Step 2: Convert to fraction form
    379,177.96/523,298.13 = 209,444.89/x
  3. Step 3: Cross multiply
    379,177.96x = 523,298.13 × 209,444.89
  4. Step 4: Simplify right side
    379,177.96x = 109,602,119,275.06
  5. Step 5: Solve for x
    x = 109,602,119,275.06/379,177.96
  6. Step 6: Final answer
    x = 289,051.93

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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.