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Finding the Fourth Proportional to 497,726.73, 686,646.72 and 316,341.54

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Solution

The fourth proportional to 497,726.73, 686,646.72 and 316,341.54 is: 436,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,726.73 : 686,646.72 = 316,341.54 : x
  2. Step 2: Convert to fraction form
    497,726.73/686,646.72 = 316,341.54/x
  3. Step 3: Cross multiply
    497,726.73x = 686,646.72 × 316,341.54
  4. Step 4: Simplify right side
    497,726.73x = 217,214,880,840.75
  5. Step 5: Solve for x
    x = 217,214,880,840.75/497,726.73
  6. Step 6: Final answer
    x = 436,413.94

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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.