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Finding the Fourth Proportional to 453,916.90, 680,802.45 and 138,300.40

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Solution

The fourth proportional to 453,916.90, 680,802.45 and 138,300.40 is: 207,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,916.90 : 680,802.45 = 138,300.40 : x
  2. Step 2: Convert to fraction form
    453,916.90/680,802.45 = 138,300.40/x
  3. Step 3: Cross multiply
    453,916.90x = 680,802.45 × 138,300.40
  4. Step 4: Simplify right side
    453,916.90x = 94,155,251,155.98
  5. Step 5: Solve for x
    x = 94,155,251,155.98/453,916.90
  6. Step 6: Final answer
    x = 207,428.39

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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.