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Finding the Fourth Proportional to 472,541.52, 705,800.16 and 427,493.76

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Solution

The fourth proportional to 472,541.52, 705,800.16 and 427,493.76 is: 638,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,541.52 : 705,800.16 = 427,493.76 : x
  2. Step 2: Convert to fraction form
    472,541.52/705,800.16 = 427,493.76/x
  3. Step 3: Cross multiply
    472,541.52x = 705,800.16 × 427,493.76
  4. Step 4: Simplify right side
    472,541.52x = 301,725,164,207.00
  5. Step 5: Solve for x
    x = 301,725,164,207.00/472,541.52
  6. Step 6: Final answer
    x = 638,515.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.