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Finding the Fourth Proportional to 657,315.81, 986,381.96 and 420,828.21

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Solution

The fourth proportional to 657,315.81, 986,381.96 and 420,828.21 is: 631,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,315.81 : 986,381.96 = 420,828.21 : x
  2. Step 2: Convert to fraction form
    657,315.81/986,381.96 = 420,828.21/x
  3. Step 3: Cross multiply
    657,315.81x = 986,381.96 × 420,828.21
  4. Step 4: Simplify right side
    657,315.81x = 415,097,352,498.95
  5. Step 5: Solve for x
    x = 415,097,352,498.95/657,315.81
  6. Step 6: Final answer
    x = 631,503.68

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1.5x scale

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.