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Finding the Fourth Proportional to 546,363.16, 819,260.40 and 209,302.72

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Solution

The fourth proportional to 546,363.16, 819,260.40 and 209,302.72 is: 313,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,363.16 : 819,260.40 = 209,302.72 : x
  2. Step 2: Convert to fraction form
    546,363.16/819,260.40 = 209,302.72/x
  3. Step 3: Cross multiply
    546,363.16x = 819,260.40 × 209,302.72
  4. Step 4: Simplify right side
    546,363.16x = 171,473,430,108.29
  5. Step 5: Solve for x
    x = 171,473,430,108.29/546,363.16
  6. Step 6: Final answer
    x = 313,845.15

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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.