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Finding the Fourth Proportional to 1,316,376, 1,974,564 and 319,104

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Solution

The fourth proportional to 1,316,376, 1,974,564 and 319,104 is: 478,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,376 : 1,974,564 = 319,104 : x
  2. Step 2: Convert to fraction form
    1,316,376/1,974,564 = 319,104/x
  3. Step 3: Cross multiply
    1,316,376x = 1,974,564 × 319,104
  4. Step 4: Simplify right side
    1,316,376x = 630,091,270,656
  5. Step 5: Solve for x
    x = 630,091,270,656/1,316,376
  6. Step 6: Final answer
    x = 478,656

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.