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Finding the Fourth Proportional to 472,197.76, 651,624.64 and 257,339.68

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Solution

The fourth proportional to 472,197.76, 651,624.64 and 257,339.68 is: 355,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,197.76 : 651,624.64 = 257,339.68 : x
  2. Step 2: Convert to fraction form
    472,197.76/651,624.64 = 257,339.68/x
  3. Step 3: Cross multiply
    472,197.76x = 651,624.64 × 257,339.68
  4. Step 4: Simplify right side
    472,197.76x = 167,688,876,337.72
  5. Step 5: Solve for x
    x = 167,688,876,337.72/472,197.76
  6. Step 6: Final answer
    x = 355,124.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.