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Finding the Fourth Proportional to 418,151.70, 577,098.81 and 248,386.50

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Solution

The fourth proportional to 418,151.70, 577,098.81 and 248,386.50 is: 342,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,151.70 : 577,098.81 = 248,386.50 : x
  2. Step 2: Convert to fraction form
    418,151.70/577,098.81 = 248,386.50/x
  3. Step 3: Cross multiply
    418,151.70x = 577,098.81 × 248,386.50
  4. Step 4: Simplify right side
    418,151.70x = 143,343,553,570.07
  5. Step 5: Solve for x
    x = 143,343,553,570.07/418,151.70
  6. Step 6: Final answer
    x = 342,802.75

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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.