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Finding the Fourth Proportional to 1,315,590, 1,973,697 and 429,126

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Solution

The fourth proportional to 1,315,590, 1,973,697 and 429,126 is: 643,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,590 : 1,973,697 = 429,126 : x
  2. Step 2: Convert to fraction form
    1,315,590/1,973,697 = 429,126/x
  3. Step 3: Cross multiply
    1,315,590x = 1,973,697 × 429,126
  4. Step 4: Simplify right side
    1,315,590x = 846,964,698,822
  5. Step 5: Solve for x
    x = 846,964,698,822/1,315,590
  6. Step 6: Final answer
    x = 643,790.77

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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.