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Finding the Fourth Proportional to 319,130.16, 478,766.21 and 139,244.74

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Solution

The fourth proportional to 319,130.16, 478,766.21 and 139,244.74 is: 208,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,130.16 : 478,766.21 = 139,244.74 : x
  2. Step 2: Convert to fraction form
    319,130.16/478,766.21 = 139,244.74/x
  3. Step 3: Cross multiply
    319,130.16x = 478,766.21 × 139,244.74
  4. Step 4: Simplify right side
    319,130.16x = 66,665,678,015.41
  5. Step 5: Solve for x
    x = 66,665,678,015.41/319,130.16
  6. Step 6: Final answer
    x = 208,898.08

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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.