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Finding the Fourth Proportional to 285,303.69, 393,732.36 and 164,442.78

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Solution

The fourth proportional to 285,303.69, 393,732.36 and 164,442.78 is: 226,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,303.69 : 393,732.36 = 164,442.78 : x
  2. Step 2: Convert to fraction form
    285,303.69/393,732.36 = 164,442.78/x
  3. Step 3: Cross multiply
    285,303.69x = 393,732.36 × 164,442.78
  4. Step 4: Simplify right side
    285,303.69x = 64,746,443,854.36
  5. Step 5: Solve for x
    x = 64,746,443,854.36/285,303.69
  6. Step 6: Final answer
    x = 226,938.68

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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.