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Finding the Fourth Proportional to 319,315.47, 478,984.51 and 79,430.61

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Solution

The fourth proportional to 319,315.47, 478,984.51 and 79,430.61 is: 119,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,315.47 : 478,984.51 = 79,430.61 : x
  2. Step 2: Convert to fraction form
    319,315.47/478,984.51 = 79,430.61/x
  3. Step 3: Cross multiply
    319,315.47x = 478,984.51 × 79,430.61
  4. Step 4: Simplify right side
    319,315.47x = 38,046,033,255.16
  5. Step 5: Solve for x
    x = 38,046,033,255.16/319,315.47
  6. Step 6: Final answer
    x = 119,148.73

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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.