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Finding the Fourth Proportional to 319,397.19, 478,532.03 and 284,645.76

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Solution

The fourth proportional to 319,397.19, 478,532.03 and 284,645.76 is: 426,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,397.19 : 478,532.03 = 284,645.76 : x
  2. Step 2: Convert to fraction form
    319,397.19/478,532.03 = 284,645.76/x
  3. Step 3: Cross multiply
    319,397.19x = 478,532.03 × 284,645.76
  4. Step 4: Simplify right side
    319,397.19x = 136,212,111,940.46
  5. Step 5: Solve for x
    x = 136,212,111,940.46/319,397.19
  6. Step 6: Final answer
    x = 426,466.22

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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.