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Finding the Fourth Proportional to 1,187,693.64, 1,781,621.10 and 477,721.80

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Solution

The fourth proportional to 1,187,693.64, 1,781,621.10 and 477,721.80 is: 716,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,693.64 : 1,781,621.10 = 477,721.80 : x
  2. Step 2: Convert to fraction form
    1,187,693.64/1,781,621.10 = 477,721.80/x
  3. Step 3: Cross multiply
    1,187,693.64x = 1,781,621.10 × 477,721.80
  4. Step 4: Simplify right side
    1,187,693.64x = 851,119,238,809.98
  5. Step 5: Solve for x
    x = 851,119,238,809.98/1,187,693.64
  6. Step 6: Final answer
    x = 716,615.14

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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.