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Finding the Fourth Proportional to 658,998.64, 909,515.28 and 417,303.28

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Solution

The fourth proportional to 658,998.64, 909,515.28 and 417,303.28 is: 575,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,998.64 : 909,515.28 = 417,303.28 : x
  2. Step 2: Convert to fraction form
    658,998.64/909,515.28 = 417,303.28/x
  3. Step 3: Cross multiply
    658,998.64x = 909,515.28 × 417,303.28
  4. Step 4: Simplify right side
    658,998.64x = 379,543,709,554.12
  5. Step 5: Solve for x
    x = 379,543,709,554.12/658,998.64
  6. Step 6: Final answer
    x = 575,940.05

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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.