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Finding the Fourth Proportional to 456,659.71, 684,975.38 and 216,946.13

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Solution

The fourth proportional to 456,659.71, 684,975.38 and 216,946.13 is: 325,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,659.71 : 684,975.38 = 216,946.13 : x
  2. Step 2: Convert to fraction form
    456,659.71/684,975.38 = 216,946.13/x
  3. Step 3: Cross multiply
    456,659.71x = 684,975.38 × 216,946.13
  4. Step 4: Simplify right side
    456,659.71x = 148,602,753,326.67
  5. Step 5: Solve for x
    x = 148,602,753,326.67/456,659.71
  6. Step 6: Final answer
    x = 325,412.45

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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.