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Finding the Fourth Proportional to 313,523.52, 432,663.69 and 170,285.95

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Solution

The fourth proportional to 313,523.52, 432,663.69 and 170,285.95 is: 234,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,523.52 : 432,663.69 = 170,285.95 : x
  2. Step 2: Convert to fraction form
    313,523.52/432,663.69 = 170,285.95/x
  3. Step 3: Cross multiply
    313,523.52x = 432,663.69 × 170,285.95
  4. Step 4: Simplify right side
    313,523.52x = 73,676,547,482.16
  5. Step 5: Solve for x
    x = 73,676,547,482.16/313,523.52
  6. Step 6: Final answer
    x = 234,995.28

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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.