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Finding the Fourth Proportional to 319,126.73, 478,690.10 and 97,508.81

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Solution

The fourth proportional to 319,126.73, 478,690.10 and 97,508.81 is: 146,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,126.73 : 478,690.10 = 97,508.81 : x
  2. Step 2: Convert to fraction form
    319,126.73/478,690.10 = 97,508.81/x
  3. Step 3: Cross multiply
    319,126.73x = 478,690.10 × 97,508.81
  4. Step 4: Simplify right side
    319,126.73x = 46,676,501,522.24
  5. Step 5: Solve for x
    x = 46,676,501,522.24/319,126.73
  6. Step 6: Final answer
    x = 146,263.22

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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.