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Finding the Fourth Proportional to 430,599.16, 645,901.98 and 164,288.08

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Solution

The fourth proportional to 430,599.16, 645,901.98 and 164,288.08 is: 246,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,599.16 : 645,901.98 = 164,288.08 : x
  2. Step 2: Convert to fraction form
    430,599.16/645,901.98 = 164,288.08/x
  3. Step 3: Cross multiply
    430,599.16x = 645,901.98 × 164,288.08
  4. Step 4: Simplify right side
    430,599.16x = 106,113,996,162.40
  5. Step 5: Solve for x
    x = 106,113,996,162.40/430,599.16
  6. Step 6: Final answer
    x = 246,433.36

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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.