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Finding the Fourth Proportional to 319,084.92, 478,710.41 and 119,421

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Solution

The fourth proportional to 319,084.92, 478,710.41 and 119,421 is: 179,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,084.92 : 478,710.41 = 119,421 : x
  2. Step 2: Convert to fraction form
    319,084.92/478,710.41 = 119,421/x
  3. Step 3: Cross multiply
    319,084.92x = 478,710.41 × 119,421
  4. Step 4: Simplify right side
    319,084.92x = 57,168,075,275.51
  5. Step 5: Solve for x
    x = 57,168,075,275.51/319,084.92
  6. Step 6: Final answer
    x = 179,162.57

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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.