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Finding the Fourth Proportional to 1,316,497, 1,974,751.98 and 319,225

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Solution

The fourth proportional to 1,316,497, 1,974,751.98 and 319,225 is: 478,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,497 : 1,974,751.98 = 319,225 : x
  2. Step 2: Convert to fraction form
    1,316,497/1,974,751.98 = 319,225/x
  3. Step 3: Cross multiply
    1,316,497x = 1,974,751.98 × 319,225
  4. Step 4: Simplify right side
    1,316,497x = 630,390,200,815.50
  5. Step 5: Solve for x
    x = 630,390,200,815.50/1,316,497
  6. Step 6: Final answer
    x = 478,839.07

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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.