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Finding the Fourth Proportional to 368,752.50, 508,870.08 and 205,407.90

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Solution

The fourth proportional to 368,752.50, 508,870.08 and 205,407.90 is: 283,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,752.50 : 508,870.08 = 205,407.90 : x
  2. Step 2: Convert to fraction form
    368,752.50/508,870.08 = 205,407.90/x
  3. Step 3: Cross multiply
    368,752.50x = 508,870.08 × 205,407.90
  4. Step 4: Simplify right side
    368,752.50x = 104,525,934,505.63
  5. Step 5: Solve for x
    x = 104,525,934,505.63/368,752.50
  6. Step 6: Final answer
    x = 283,458.24

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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.