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Finding the Fourth Proportional to 385,859.16, 578,646.59 and 133,074.77

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Solution

The fourth proportional to 385,859.16, 578,646.59 and 133,074.77 is: 199,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,859.16 : 578,646.59 = 133,074.77 : x
  2. Step 2: Convert to fraction form
    385,859.16/578,646.59 = 133,074.77/x
  3. Step 3: Cross multiply
    385,859.16x = 578,646.59 × 133,074.77
  4. Step 4: Simplify right side
    385,859.16x = 77,003,258,316.93
  5. Step 5: Solve for x
    x = 77,003,258,316.93/385,859.16
  6. Step 6: Final answer
    x = 199,563.12

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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.