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Finding the Fourth Proportional to 657,493, 986,267.72 and 258,220.11

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Solution

The fourth proportional to 657,493, 986,267.72 and 258,220.11 is: 387,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,493 : 986,267.72 = 258,220.11 : x
  2. Step 2: Convert to fraction form
    657,493/986,267.72 = 258,220.11/x
  3. Step 3: Cross multiply
    657,493x = 986,267.72 × 258,220.11
  4. Step 4: Simplify right side
    657,493x = 254,674,159,147.85
  5. Step 5: Solve for x
    x = 254,674,159,147.85/657,493
  6. Step 6: Final answer
    x = 387,341.25

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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.