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Finding the Fourth Proportional to 407,985, 563,053.86 and 229,171.56

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Solution

The fourth proportional to 407,985, 563,053.86 and 229,171.56 is: 316,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,985 : 563,053.86 = 229,171.56 : x
  2. Step 2: Convert to fraction form
    407,985/563,053.86 = 229,171.56/x
  3. Step 3: Cross multiply
    407,985x = 563,053.86 × 229,171.56
  4. Step 4: Simplify right side
    407,985x = 129,035,931,460.22
  5. Step 5: Solve for x
    x = 129,035,931,460.22/407,985
  6. Step 6: Final answer
    x = 316,276.17

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1.5x scale

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.