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Finding the Fourth Proportional to 832,899, 1,149,312.42 and 470,300.88

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Solution

The fourth proportional to 832,899, 1,149,312.42 and 470,300.88 is: 648,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,899 : 1,149,312.42 = 470,300.88 : x
  2. Step 2: Convert to fraction form
    832,899/1,149,312.42 = 470,300.88/x
  3. Step 3: Cross multiply
    832,899x = 1,149,312.42 × 470,300.88
  4. Step 4: Simplify right side
    832,899x = 540,522,642,520.93
  5. Step 5: Solve for x
    x = 540,522,642,520.93/832,899
  6. Step 6: Final answer
    x = 648,965.41

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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.