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Finding the Fourth Proportional to 700,307.54, 966,411.29 and 428,355.46

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Solution

The fourth proportional to 700,307.54, 966,411.29 and 428,355.46 is: 591,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,307.54 : 966,411.29 = 428,355.46 : x
  2. Step 2: Convert to fraction form
    700,307.54/966,411.29 = 428,355.46/x
  3. Step 3: Cross multiply
    700,307.54x = 966,411.29 × 428,355.46
  4. Step 4: Simplify right side
    700,307.54x = 413,967,552,677.14
  5. Step 5: Solve for x
    x = 413,967,552,677.14/700,307.54
  6. Step 6: Final answer
    x = 591,122.51

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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.