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Finding the Fourth Proportional to 497,591.40, 686,677.32 and 282,802.80

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Solution

The fourth proportional to 497,591.40, 686,677.32 and 282,802.80 is: 390,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,591.40 : 686,677.32 = 282,802.80 : x
  2. Step 2: Convert to fraction form
    497,591.40/686,677.32 = 282,802.80/x
  3. Step 3: Cross multiply
    497,591.40x = 686,677.32 × 282,802.80
  4. Step 4: Simplify right side
    497,591.40x = 194,194,268,792.50
  5. Step 5: Solve for x
    x = 194,194,268,792.50/497,591.40
  6. Step 6: Final answer
    x = 390,268.54

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1.5x scale

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.