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Finding the Fourth Proportional to 519,663.18, 717,823.70 and 418,071.28

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Solution

The fourth proportional to 519,663.18, 717,823.70 and 418,071.28 is: 577,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,663.18 : 717,823.70 = 418,071.28 : x
  2. Step 2: Convert to fraction form
    519,663.18/717,823.70 = 418,071.28/x
  3. Step 3: Cross multiply
    519,663.18x = 717,823.70 × 418,071.28
  4. Step 4: Simplify right side
    519,663.18x = 300,101,473,073.34
  5. Step 5: Solve for x
    x = 300,101,473,073.34/519,663.18
  6. Step 6: Final answer
    x = 577,492.28

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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.