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Finding the Fourth Proportional to 407,681.96, 562,582.14 and 226,405.40

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Solution

The fourth proportional to 407,681.96, 562,582.14 and 226,405.40 is: 312,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,681.96 : 562,582.14 = 226,405.40 : x
  2. Step 2: Convert to fraction form
    407,681.96/562,582.14 = 226,405.40/x
  3. Step 3: Cross multiply
    407,681.96x = 562,582.14 × 226,405.40
  4. Step 4: Simplify right side
    407,681.96x = 127,371,634,439.56
  5. Step 5: Solve for x
    x = 127,371,634,439.56/407,681.96
  6. Step 6: Final answer
    x = 312,428.92

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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.