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Finding the Fourth Proportional to 319,528, 479,300.64 and 97,912

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Solution

The fourth proportional to 319,528, 479,300.64 and 97,912 is: 146,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,528 : 479,300.64 = 97,912 : x
  2. Step 2: Convert to fraction form
    319,528/479,300.64 = 97,912/x
  3. Step 3: Cross multiply
    319,528x = 479,300.64 × 97,912
  4. Step 4: Simplify right side
    319,528x = 46,929,284,263.68
  5. Step 5: Solve for x
    x = 46,929,284,263.68/319,528
  6. Step 6: Final answer
    x = 146,870.65

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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.