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Finding the Fourth Proportional to 714,857.40, 987,364.89 and 570,165.48

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Solution

The fourth proportional to 714,857.40, 987,364.89 and 570,165.48 is: 787,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,857.40 : 987,364.89 = 570,165.48 : x
  2. Step 2: Convert to fraction form
    714,857.40/987,364.89 = 570,165.48/x
  3. Step 3: Cross multiply
    714,857.40x = 987,364.89 × 570,165.48
  4. Step 4: Simplify right side
    714,857.40x = 562,961,376,442.00
  5. Step 5: Solve for x
    x = 562,961,376,442.00/714,857.40
  6. Step 6: Final answer
    x = 787,515.63

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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.