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Finding the Fourth Proportional to 788,142, 1,087,635.96 and 430,446

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Solution

The fourth proportional to 788,142, 1,087,635.96 and 430,446 is: 594,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,142 : 1,087,635.96 = 430,446 : x
  2. Step 2: Convert to fraction form
    788,142/1,087,635.96 = 430,446/x
  3. Step 3: Cross multiply
    788,142x = 1,087,635.96 × 430,446
  4. Step 4: Simplify right side
    788,142x = 468,168,548,438.16
  5. Step 5: Solve for x
    x = 468,168,548,438.16/788,142
  6. Step 6: Final answer
    x = 594,015.48

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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.