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Finding the Fourth Proportional to 509,649.08, 703,316.16 and 280,210.31

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Solution

The fourth proportional to 509,649.08, 703,316.16 and 280,210.31 is: 386,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,649.08 : 703,316.16 = 280,210.31 : x
  2. Step 2: Convert to fraction form
    509,649.08/703,316.16 = 280,210.31/x
  3. Step 3: Cross multiply
    509,649.08x = 703,316.16 × 280,210.31
  4. Step 4: Simplify right side
    509,649.08x = 197,076,435,705.03
  5. Step 5: Solve for x
    x = 197,076,435,705.03/509,649.08
  6. Step 6: Final answer
    x = 386,690.46

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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.