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Finding the Fourth Proportional to 671,862.40, 927,135.12 and 417,208.16

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Solution

The fourth proportional to 671,862.40, 927,135.12 and 417,208.16 is: 575,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,862.40 : 927,135.12 = 417,208.16 : x
  2. Step 2: Convert to fraction form
    671,862.40/927,135.12 = 417,208.16/x
  3. Step 3: Cross multiply
    671,862.40x = 927,135.12 × 417,208.16
  4. Step 4: Simplify right side
    671,862.40x = 386,808,337,486.58
  5. Step 5: Solve for x
    x = 386,808,337,486.58/671,862.40
  6. Step 6: Final answer
    x = 575,725.53

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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.