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Finding the Fourth Proportional to 407,984, 563,070.72 and 229,136

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Solution

The fourth proportional to 407,984, 563,070.72 and 229,136 is: 316,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,984 : 563,070.72 = 229,136 : x
  2. Step 2: Convert to fraction form
    407,984/563,070.72 = 229,136/x
  3. Step 3: Cross multiply
    407,984x = 563,070.72 × 229,136
  4. Step 4: Simplify right side
    407,984x = 129,019,772,497.92
  5. Step 5: Solve for x
    x = 129,019,772,497.92/407,984
  6. Step 6: Final answer
    x = 316,237.33

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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.