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Finding the Fourth Proportional to 783,298, 1,080,957.84 and 425,602

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Solution

The fourth proportional to 783,298, 1,080,957.84 and 425,602 is: 587,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,298 : 1,080,957.84 = 425,602 : x
  2. Step 2: Convert to fraction form
    783,298/1,080,957.84 = 425,602/x
  3. Step 3: Cross multiply
    783,298x = 1,080,957.84 × 425,602
  4. Step 4: Simplify right side
    783,298x = 460,057,818,619.68
  5. Step 5: Solve for x
    x = 460,057,818,619.68/783,298
  6. Step 6: Final answer
    x = 587,334.35

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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.