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Finding the Fourth Proportional to 1,316,385, 1,974,577.50 and 319,113

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Solution

The fourth proportional to 1,316,385, 1,974,577.50 and 319,113 is: 478,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,385 : 1,974,577.50 = 319,113 : x
  2. Step 2: Convert to fraction form
    1,316,385/1,974,577.50 = 319,113/x
  3. Step 3: Cross multiply
    1,316,385x = 1,974,577.50 × 319,113
  4. Step 4: Simplify right side
    1,316,385x = 630,113,349,757.50
  5. Step 5: Solve for x
    x = 630,113,349,757.50/1,316,385
  6. Step 6: Final answer
    x = 478,669.50

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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.