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Finding the Fourth Proportional to 315,029.40, 472,547.70 and 78,372.60

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Solution

The fourth proportional to 315,029.40, 472,547.70 and 78,372.60 is: 117,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,029.40 : 472,547.70 = 78,372.60 : x
  2. Step 2: Convert to fraction form
    315,029.40/472,547.70 = 78,372.60/x
  3. Step 3: Cross multiply
    315,029.40x = 472,547.70 × 78,372.60
  4. Step 4: Simplify right side
    315,029.40x = 37,034,791,873.02
  5. Step 5: Solve for x
    x = 37,034,791,873.02/315,029.40
  6. Step 6: Final answer
    x = 117,559.80

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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.