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Finding the Fourth Proportional to 851,564, 1,277,346 and 477,616.16

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Solution

The fourth proportional to 851,564, 1,277,346 and 477,616.16 is: 716,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,564 : 1,277,346 = 477,616.16 : x
  2. Step 2: Convert to fraction form
    851,564/1,277,346 = 477,616.16/x
  3. Step 3: Cross multiply
    851,564x = 1,277,346 × 477,616.16
  4. Step 4: Simplify right side
    851,564x = 610,081,091,511.36
  5. Step 5: Solve for x
    x = 610,081,091,511.36/851,564
  6. Step 6: Final answer
    x = 716,424.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.