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Finding the Fourth Proportional to 657,413.16, 906,942.06 and 385,343.16

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Solution

The fourth proportional to 657,413.16, 906,942.06 and 385,343.16 is: 531,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,413.16 : 906,942.06 = 385,343.16 : x
  2. Step 2: Convert to fraction form
    657,413.16/906,942.06 = 385,343.16/x
  3. Step 3: Cross multiply
    657,413.16x = 906,942.06 × 385,343.16
  4. Step 4: Simplify right side
    657,413.16x = 349,483,919,337.31
  5. Step 5: Solve for x
    x = 349,483,919,337.31/657,413.16
  6. Step 6: Final answer
    x = 531,604.69

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1.5x scale

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.