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Finding the Fourth Proportional to 455,565.68, 683,431.32 and 227,980.16

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Solution

The fourth proportional to 455,565.68, 683,431.32 and 227,980.16 is: 342,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,565.68 : 683,431.32 = 227,980.16 : x
  2. Step 2: Convert to fraction form
    455,565.68/683,431.32 = 227,980.16/x
  3. Step 3: Cross multiply
    455,565.68x = 683,431.32 × 227,980.16
  4. Step 4: Simplify right side
    455,565.68x = 155,808,781,682.61
  5. Step 5: Solve for x
    x = 155,808,781,682.61/455,565.68
  6. Step 6: Final answer
    x = 342,011.68

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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.