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Finding the Fourth Proportional to 456,668.61, 684,254.89 and 243,209.89

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Solution

The fourth proportional to 456,668.61, 684,254.89 and 243,209.89 is: 364,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,668.61 : 684,254.89 = 243,209.89 : x
  2. Step 2: Convert to fraction form
    456,668.61/684,254.89 = 243,209.89/x
  3. Step 3: Cross multiply
    456,668.61x = 684,254.89 × 243,209.89
  4. Step 4: Simplify right side
    456,668.61x = 166,417,557,688.19
  5. Step 5: Solve for x
    x = 166,417,557,688.19/456,668.61
  6. Step 6: Final answer
    x = 364,416.46

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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.