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Finding the Fourth Proportional to 430,016.61, 645,202.62 and 216,670.50

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Solution

The fourth proportional to 430,016.61, 645,202.62 and 216,670.50 is: 325,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,016.61 : 645,202.62 = 216,670.50 : x
  2. Step 2: Convert to fraction form
    430,016.61/645,202.62 = 216,670.50/x
  3. Step 3: Cross multiply
    430,016.61x = 645,202.62 × 216,670.50
  4. Step 4: Simplify right side
    430,016.61x = 139,796,374,276.71
  5. Step 5: Solve for x
    x = 139,796,374,276.71/430,016.61
  6. Step 6: Final answer
    x = 325,095.29

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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.