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Finding the Fourth Proportional to 1,316,374.42, 1,971,013.50 and 859,835.12

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Solution

The fourth proportional to 1,316,374.42, 1,971,013.50 and 859,835.12 is: 1,287,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,374.42 : 1,971,013.50 = 859,835.12 : x
  2. Step 2: Convert to fraction form
    1,316,374.42/1,971,013.50 = 859,835.12/x
  3. Step 3: Cross multiply
    1,316,374.42x = 1,971,013.50 × 859,835.12
  4. Step 4: Simplify right side
    1,316,374.42x = 1,694,746,621,782.87
  5. Step 5: Solve for x
    x = 1,694,746,621,782.87/1,316,374.42
  6. Step 6: Final answer
    x = 1,287,435.09

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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.