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Finding the Fourth Proportional to 875,286, 1,207,894.70 and 472,878

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Solution

The fourth proportional to 875,286, 1,207,894.70 and 472,878 is: 652,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,286 : 1,207,894.70 = 472,878 : x
  2. Step 2: Convert to fraction form
    875,286/1,207,894.70 = 472,878/x
  3. Step 3: Cross multiply
    875,286x = 1,207,894.70 × 472,878
  4. Step 4: Simplify right side
    875,286x = 571,186,829,946.60
  5. Step 5: Solve for x
    x = 571,186,829,946.60/875,286
  6. Step 6: Final answer
    x = 652,571.65

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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.