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Finding the Fourth Proportional to 314,937.70, 472,406.55 and 310,515.10

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Solution

The fourth proportional to 314,937.70, 472,406.55 and 310,515.10 is: 465,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,937.70 : 472,406.55 = 310,515.10 : x
  2. Step 2: Convert to fraction form
    314,937.70/472,406.55 = 310,515.10/x
  3. Step 3: Cross multiply
    314,937.70x = 472,406.55 × 310,515.10
  4. Step 4: Simplify right side
    314,937.70x = 146,689,367,113.91
  5. Step 5: Solve for x
    x = 146,689,367,113.91/314,937.70
  6. Step 6: Final answer
    x = 465,772.65

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1.5x scale

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.