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Finding the Fourth Proportional to 1,316,503, 1,974,760.98 and 319,231

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Solution

The fourth proportional to 1,316,503, 1,974,760.98 and 319,231 is: 478,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,503 : 1,974,760.98 = 319,231 : x
  2. Step 2: Convert to fraction form
    1,316,503/1,974,760.98 = 319,231/x
  3. Step 3: Cross multiply
    1,316,503x = 1,974,760.98 × 319,231
  4. Step 4: Simplify right side
    1,316,503x = 630,404,922,406.38
  5. Step 5: Solve for x
    x = 630,404,922,406.38/1,316,503
  6. Step 6: Final answer
    x = 478,848.07

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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.