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Finding the Fourth Proportional to 320,681.92, 442,510.92 and 217,105.42

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Solution

The fourth proportional to 320,681.92, 442,510.92 and 217,105.42 is: 299,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,681.92 : 442,510.92 = 217,105.42 : x
  2. Step 2: Convert to fraction form
    320,681.92/442,510.92 = 217,105.42/x
  3. Step 3: Cross multiply
    320,681.92x = 442,510.92 × 217,105.42
  4. Step 4: Simplify right side
    320,681.92x = 96,071,518,412.50
  5. Step 5: Solve for x
    x = 96,071,518,412.50/320,681.92
  6. Step 6: Final answer
    x = 299,585.08

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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.