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Finding the Fourth Proportional to 415,074.45, 619,172.31 and 402,838.17

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Solution

The fourth proportional to 415,074.45, 619,172.31 and 402,838.17 is: 600,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,074.45 : 619,172.31 = 402,838.17 : x
  2. Step 2: Convert to fraction form
    415,074.45/619,172.31 = 402,838.17/x
  3. Step 3: Cross multiply
    415,074.45x = 619,172.31 × 402,838.17
  4. Step 4: Simplify right side
    415,074.45x = 249,426,240,275.07
  5. Step 5: Solve for x
    x = 249,426,240,275.07/415,074.45
  6. Step 6: Final answer
    x = 600,919.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.