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Finding the Fourth Proportional to 657,465.80, 987,365.10 and 508,069.40

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Solution

The fourth proportional to 657,465.80, 987,365.10 and 508,069.40 is: 763,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,465.80 : 987,365.10 = 508,069.40 : x
  2. Step 2: Convert to fraction form
    657,465.80/987,365.10 = 508,069.40/x
  3. Step 3: Cross multiply
    657,465.80x = 987,365.10 × 508,069.40
  4. Step 4: Simplify right side
    657,465.80x = 501,649,993,937.94
  5. Step 5: Solve for x
    x = 501,649,993,937.94/657,465.80
  6. Step 6: Final answer
    x = 763,005.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.