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Finding the Fourth Proportional to 460,314.40, 688,916.40 and 404,327.20

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Solution

The fourth proportional to 460,314.40, 688,916.40 and 404,327.20 is: 605,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,314.40 : 688,916.40 = 404,327.20 : x
  2. Step 2: Convert to fraction form
    460,314.40/688,916.40 = 404,327.20/x
  3. Step 3: Cross multiply
    460,314.40x = 688,916.40 × 404,327.20
  4. Step 4: Simplify right side
    460,314.40x = 278,547,639,046.08
  5. Step 5: Solve for x
    x = 278,547,639,046.08/460,314.40
  6. Step 6: Final answer
    x = 605,124.76

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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.