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Finding the Fourth Proportional to 438,428.60, 657,642.90 and 399,721.40

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Solution

The fourth proportional to 438,428.60, 657,642.90 and 399,721.40 is: 599,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.60 : 657,642.90 = 399,721.40 : x
  2. Step 2: Convert to fraction form
    438,428.60/657,642.90 = 399,721.40/x
  3. Step 3: Cross multiply
    438,428.60x = 657,642.90 × 399,721.40
  4. Step 4: Simplify right side
    438,428.60x = 262,873,940,688.06
  5. Step 5: Solve for x
    x = 262,873,940,688.06/438,428.60
  6. Step 6: Final answer
    x = 599,582.10

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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.