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Finding the Fourth Proportional to 420,678.40, 627,798.01 and 375,801.16

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Solution

The fourth proportional to 420,678.40, 627,798.01 and 375,801.16 is: 560,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,678.40 : 627,798.01 = 375,801.16 : x
  2. Step 2: Convert to fraction form
    420,678.40/627,798.01 = 375,801.16/x
  3. Step 3: Cross multiply
    420,678.40x = 627,798.01 × 375,801.16
  4. Step 4: Simplify right side
    420,678.40x = 235,927,220,403.69
  5. Step 5: Solve for x
    x = 235,927,220,403.69/420,678.40
  6. Step 6: Final answer
    x = 560,825.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.