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Finding the Fourth Proportional to 319,128.73, 478,693.10 and 97,510.81

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Solution

The fourth proportional to 319,128.73, 478,693.10 and 97,510.81 is: 146,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,128.73 : 478,693.10 = 97,510.81 : x
  2. Step 2: Convert to fraction form
    319,128.73/478,693.10 = 97,510.81/x
  3. Step 3: Cross multiply
    319,128.73x = 478,693.10 × 97,510.81
  4. Step 4: Simplify right side
    319,128.73x = 46,677,751,922.41
  5. Step 5: Solve for x
    x = 46,677,751,922.41/319,128.73
  6. Step 6: Final answer
    x = 146,266.22

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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.