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Finding the Fourth Proportional to 569,154.47, 785,402.33 and 314,489.25

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Solution

The fourth proportional to 569,154.47, 785,402.33 and 314,489.25 is: 433,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,154.47 : 785,402.33 = 314,489.25 : x
  2. Step 2: Convert to fraction form
    569,154.47/785,402.33 = 314,489.25/x
  3. Step 3: Cross multiply
    569,154.47x = 785,402.33 × 314,489.25
  4. Step 4: Simplify right side
    569,154.47x = 247,000,588,137.51
  5. Step 5: Solve for x
    x = 247,000,588,137.51/569,154.47
  6. Step 6: Final answer
    x = 433,978.13

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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.