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Finding the Fourth Proportional to 704,020.50, 971,542.14 and 398,157.06

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Solution

The fourth proportional to 704,020.50, 971,542.14 and 398,157.06 is: 549,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,020.50 : 971,542.14 = 398,157.06 : x
  2. Step 2: Convert to fraction form
    704,020.50/971,542.14 = 398,157.06/x
  3. Step 3: Cross multiply
    704,020.50x = 971,542.14 × 398,157.06
  4. Step 4: Simplify right side
    704,020.50x = 386,826,362,128.51
  5. Step 5: Solve for x
    x = 386,826,362,128.51/704,020.50
  6. Step 6: Final answer
    x = 549,453.26

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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.