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Finding the Fourth Proportional to 704,886, 972,300.08 and 418,203.12

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Solution

The fourth proportional to 704,886, 972,300.08 and 418,203.12 is: 576,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,886 : 972,300.08 = 418,203.12 : x
  2. Step 2: Convert to fraction form
    704,886/972,300.08 = 418,203.12/x
  3. Step 3: Cross multiply
    704,886x = 972,300.08 × 418,203.12
  4. Step 4: Simplify right side
    704,886x = 406,618,927,032.25
  5. Step 5: Solve for x
    x = 406,618,927,032.25/704,886
  6. Step 6: Final answer
    x = 576,857.71

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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.