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Finding the Fourth Proportional to 385,521.84, 577,971.12 and 161,054.24

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Solution

The fourth proportional to 385,521.84, 577,971.12 and 161,054.24 is: 241,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,521.84 : 577,971.12 = 161,054.24 : x
  2. Step 2: Convert to fraction form
    385,521.84/577,971.12 = 161,054.24/x
  3. Step 3: Cross multiply
    385,521.84x = 577,971.12 × 161,054.24
  4. Step 4: Simplify right side
    385,521.84x = 93,084,699,473.55
  5. Step 5: Solve for x
    x = 93,084,699,473.55/385,521.84
  6. Step 6: Final answer
    x = 241,451.17

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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.