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Finding the Fourth Proportional to 539,187.24, 808,211.70 and 202,007.64

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Solution

The fourth proportional to 539,187.24, 808,211.70 and 202,007.64 is: 302,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,187.24 : 808,211.70 = 202,007.64 : x
  2. Step 2: Convert to fraction form
    539,187.24/808,211.70 = 202,007.64/x
  3. Step 3: Cross multiply
    539,187.24x = 808,211.70 × 202,007.64
  4. Step 4: Simplify right side
    539,187.24x = 163,264,938,137.39
  5. Step 5: Solve for x
    x = 163,264,938,137.39/539,187.24
  6. Step 6: Final answer
    x = 302,798.22

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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.