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Finding the Fourth Proportional to 713,770, 1,071,069.72 and 319,786

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Solution

The fourth proportional to 713,770, 1,071,069.72 and 319,786 is: 479,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,770 : 1,071,069.72 = 319,786 : x
  2. Step 2: Convert to fraction form
    713,770/1,071,069.72 = 319,786/x
  3. Step 3: Cross multiply
    713,770x = 1,071,069.72 × 319,786
  4. Step 4: Simplify right side
    713,770x = 342,513,101,479.92
  5. Step 5: Solve for x
    x = 342,513,101,479.92/713,770
  6. Step 6: Final answer
    x = 479,864.80

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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.